21100123311120 has 200 divisors, whose sum is σ = 83752976412864. Its totient is φ = 4822885317888.

The previous prime is 21100123311053. The next prime is 21100123311181. The reversal of 21100123311120 is 2111332100112.

21100123311120 is a `hidden beast` number, since 2 + 110 + 0 + 123 + 311 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21100123311093 and 21100123311102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 232539774 + ... + 232630493.

Almost surely, 2^{21100123311120} is an apocalyptic number.

21100123311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100123311120 is an abundant number, since it is smaller than the sum of its proper divisors (62652853101744).

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

21100123311120 is a wasteful number, since it uses less digits than its factorization.

21100123311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465170299 (or 465170284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21100123311120 its reverse (2111332100112), we get a palindrome (23211455411232).

The spelling of 21100123311120 in words is "twenty-one trillion, one hundred billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twenty".