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101121100122020 = 225116152971422523
BaseRepresentation
bin10110111111100000010111…
…010000001000011110100100
3111021001002020022222112222012
4112333200113100020132210
5101223232003112401040
6555022220405053352
730204521062015436
oct2677402720103644
9437032208875865
10101121100122020
112a247243885140
12b411b439b7258
1344568a94c0204
141ad8404732656
15ba55d2898865
hex5bf8174087a4

101121100122020 has 96 divisors (see below), whose sum is σ = 235501556685696. Its totient is φ = 36161647257600.

The previous prime is 101121100122001. The next prime is 101121100122047. The reversal of 101121100122020 is 20221001121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121100121986 and 101121100122004.

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, 70374479 + ... + 71797001.

It is an arithmetic number, because the mean of its divisors is an integer number (2453141215476).

Almost surely, 2101121100122020 is an apocalyptic number.

101121100122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121100122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117750778342848).

101121100122020 is an abundant number, since it is smaller than the sum of its proper divisors (134380456563676).

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

101121100122020 is a wasteful number, since it uses less digits than its factorization.

101121100122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427901 (or 1427899 counting only the distinct ones).

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

Adding to 101121100122020 its reverse (20221001121101), we get a palindrome (121342101243121).

The spelling of 101121100122020 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 5297 6710 10594 13420 21188 26485 52970 58267 105940 116534 233068 291335 323117 582670 646234 1165340 1292468 1422523 1615585 2845046 3231170 3554287 5690092 6462340 7108574 7112615 14217148 14225230 15647753 17771435 28450460 31295506 35542870 62591012 71085740 78238765 86773903 156477530 173547806 312955060 347095612 433869515 867739030 954512933 1735478060 1909025866 3818051732 4772564665 7535104331 9545129330 15070208662 19090258660 30140417324 37675521655 75351043310 82886147641 150702086620 165772295282 331544590564 414430738205 459641364191 828861476410 919282728382 1657722952820 1838565456764 2298206820955 4596413641910 5056055006101 9192827283820 10112110012202 20224220024404 25280275030505 50560550061010 101121100122020