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210010211102120 = 2351113349105200779
BaseRepresentation
bin101111110000000011010000…
…000010000010110110101000
31000112120210001200212001012012
4233300003100002002312220
5210011301403020231440
62022353205321535052
762143510543631132
oct5760032002026650
91015523050761165
10210010211102120
1160a08915237540
121b679476944488
139024b54a78260
1439c0796d48052
151942caa68de65
hexbf00d0082da8

210010211102120 has 128 divisors (see below), whose sum is σ = 556722527760000. Its totient is φ = 70290951828480.

The previous prime is 210010211102071. The next prime is 210010211102171. The reversal of 210010211102120 is 21201112010012.

It is a junction number, because it is equal to n+sod(n) for n = 210010211102095 and 210010211102104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50604110 + ... + 54596669.

It is an arithmetic number, because the mean of its divisors is an integer number (4349394748125).

Almost surely, 2210010211102120 is an apocalyptic number.

210010211102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010211102120 is an abundant number, since it is smaller than the sum of its proper divisors (346712316657880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210010211102120 is a wasteful number, since it uses less digits than its factorization.

210010211102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105201163 (or 105201159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210010211102120 its reverse (21201112010012), we get a palindrome (231211323112132).

The spelling of 210010211102120 in words is "two hundred ten trillion, ten billion, two hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 349 440 520 572 698 715 1144 1396 1430 1745 2792 2860 3490 3839 4537 5720 6980 7678 9074 13960 15356 18148 19195 22685 30712 36296 38390 45370 49907 76780 90740 99814 153560 181480 199628 249535 399256 499070 998140 1996280 105200779 210401558 420803116 526003895 841606232 1052007790 1157208569 1367610127 2104015580 2314417138 2735220254 4208031160 4628834276 5470440508 5786042845 6838050635 9257668552 10940881016 11572085690 13676101270 15043711397 23144171380 27352202540 30087422794 36715071871 46288342760 54704405080 60174845588 73430143742 75218556985 120349691176 146860287484 150437113970 183575359355 293720574968 300874227940 367150718710 403865790581 477295934323 601748455880 734301437420 807731581162 954591868646 1468602874840 1615463162324 1909183737292 2019328952905 2386479671615 3230926324648 3818367474584 4038657905810 4772959343230 5250255277553 8077315811620 9545918686460 10500510555106 16154631623240 19091837372920 21001021110212 26251276387765 42002042220424 52502552775530 105005105551060 210010211102120