21100201011120 has 320 divisors, whose sum is σ = 84181583462400. Its totient is φ = 4243023129600.

The previous prime is 21100201011083. The next prime is 21100201011133. The reversal of 21100201011120 is 2111010200112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21100201011096 and 21100201011105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17843020 + ... + 18988779.

It is an arithmetic number, because the mean of its divisors is an integer number (263067448320).

Almost surely, 2^{21100201011120} is an apocalyptic number.

21100201011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100201011120 is an abundant number, since it is smaller than the sum of its proper divisors (63081382451280).

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

21100201011120 is a wasteful number, since it uses less digits than its factorization.

21100201011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36831864 (or 36831858 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100201011120 its reverse (2111010200112), we get a palindrome (23211211211232).

The spelling of 21100201011120 in words is "twenty-one trillion, one hundred billion, two hundred one million, eleven thousand, one hundred twenty".