21100001211100 has 72 divisors (see below), whose sum is σ = 52382118440960. Its totient is φ = 7226804733120.

The previous prime is 21100001211061. The next prime is 21100001211103. The reversal of 21100001211100 is 111210000112.

It is a super-2 number, since 2×21100001211100² (a number of 27 digits) contains 22 as substring.

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 (21100001211103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14908860 + ... + 16262659.

Almost surely, 2^{21100001211100} is an apocalyptic number.

21100001211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100001211100 is an abundant number, since it is smaller than the sum of its proper divisors (31282117229860).

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

21100001211100 is a wasteful number, since it uses less digits than its factorization.

21100001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31172507 (or 31172500 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21100001211100 its reverse (111210000112), we get a palindrome (21211211211212).

The spelling of 21100001211100 in words is "twenty-one trillion, one hundred billion, one million, two hundred eleven thousand, one hundred".