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21000112100100 = 22325271937411091061
BaseRepresentation
bin1001100011001011110000…
…01110001101001100000100
32202100120221220211012120100
410301211320032031030010
510223031212144200400
6112355152431204100
74265131232430240
oct461457016151404
982316856735510
1021000112100100
116767108899441
122431b67076630
13b943c086b7a3
145285a7525420
152663db392100
hex13197838d304

21000112100100 has 1728 divisors, whose sum is σ = 84153688819200. Its totient is φ = 4272943104000.

The previous prime is 21000112100027. The next prime is 21000112100131. The reversal of 21000112100100 is 100121100012.

It is a happy number.

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 19792753570 + ... + 19792754630.

It is an arithmetic number, because the mean of its divisors is an integer number (48700051400).

Almost surely, 221000112100100 is an apocalyptic number.

21000112100100 is a gapful number since it is divisible by the number (20) 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 21000112100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42076844409600).

21000112100100 is an abundant number, since it is smaller than the sum of its proper divisors (63153576719100).

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

21000112100100 is a wasteful number, since it uses less digits than its factorization.

21000112100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

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

Adding to 21000112100100 its reverse (100121100012), we get a palindrome (21100233200112).

The spelling of 21000112100100 in words is "twenty-one trillion, one hundred twelve million, one hundred thousand, one hundred".