21100110120100 has 72 divisors (see below), whose sum is σ = 50059015580448. Its totient is φ = 7655977708800.

The previous prime is 21100110120091. The next prime is 21100110120101. The reversal of 21100110120100 is 102101100112.

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

It is not an unprimeable number, because it can be changed into a prime (21100110120101) 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, 20484082 + ... + 21489481.

It is an arithmetic number, because the mean of its divisors is an integer number (695264105284).

Almost surely, 2^{21100110120100} is an apocalyptic number.

21100110120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100110120100 is an abundant number, since it is smaller than the sum of its proper divisors (28958905460348).

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

21100110120100 is a wasteful number, since it uses less digits than its factorization.

21100110120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41974045 (or 41974038 counting only the distinct ones).

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

Adding to 21100110120100 its reverse (102101100112), we get a palindrome (21202211220212).

The spelling of 21100110120100 in words is "twenty-one trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, one hundred".