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201021110100 = 22345224817421
BaseRepresentation
bin1011101100110111001…
…0101011011101010100
3201012212111200110020000
42323031302223131110
511243142401010400
6232203044011300
720344330146246
oct2731562533524
9635774613200
10201021110100
11782861a3348
1232b61690b30
1315c57a3ab35
149a2d966096
155367e25600
hex2ecdcab754

201021110100 has 90 divisors (see below), whose sum is σ = 651631049454. Its totient is φ = 53605627200.

The previous prime is 201021110099. The next prime is 201021110161. The reversal of 201021110100 is 1011120102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 33861152196 + 167159957904 = 184014^2 + 408852^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12400611 + ... + 12416810.

Almost surely, 2201021110100 is an apocalyptic number.

201021110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021110100 is an abundant number, since it is smaller than the sum of its proper divisors (450609939354).

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

201021110100 is a wasteful number, since it uses less digits than its factorization.

201021110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24817447 (or 24817431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201021110100 its reverse (1011120102), we get a palindrome (202032230202).

The spelling of 201021110100 in words is "two hundred one billion, twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 24817421 49634842 74452263 99269684 124087105 148904526 223356789 248174210 297809052 372261315 446713578 496348420 620435525 670070367 744522630 893427156 1116783945 1240871050 1340140734 1489045260 1861306575 2010211101 2233567890 2481742100 2680281468 3350351835 3722613150 4020422202 4467135780 5583919725 6700703670 7445226300 8040844404 10051055505 11167839450 13401407340 16751759175 20102111010 22335678900 33503518350 40204222020 50255277525 67007036700 100510555050 201021110100