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21012102100 = 22521171269041
BaseRepresentation
bin10011100100011010…
…110011101111010100
32000020100222101022201
4103210122303233110
5321013044231400
613353002134244
71342461630613
oct234432635724
960210871281
1021012102100
118a02869340
1240a4ab1384
131c9b291412
1410348a387a
1582ea3d06a
hex4e46b3bd4

21012102100 has 72 divisors (see below), whose sum is σ = 50442146496. Its totient is φ = 7533120000.

The previous prime is 21012102077. The next prime is 21012102103. The reversal of 21012102100 is 120121012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56421 + ... + 212620.

It is an arithmetic number, because the mean of its divisors is an integer number (700585368).

Almost surely, 221012102100 is an apocalyptic number.

21012102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012102100 is an abundant number, since it is smaller than the sum of its proper divisors (29430044396).

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

21012102100 is a wasteful number, since it uses less digits than its factorization.

21012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269137 (or 269130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21012102100 its reverse (120121012), we get a palindrome (21132223112).

The spelling of 21012102100 in words is "twenty-one billion, twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 78100 269041 538082 1076164 1345205 2690410 2959451 5380820 5918902 6726025 11837804 13452050 14797255 19101911 26904100 29594510 38203822 59189020 73986275 76407644 95509555 147972550 191019110 210121021 295945100 382038220 420242042 477547775 840484084 955095550 1050605105 1910191100 2101210210 4202420420 5253025525 10506051050 21012102100