21221110103100 has 144 divisors (see below), whose sum is σ = 66768562975968. Its totient is φ = 5182134312960.

The previous prime is 21221110103077. The next prime is 21221110103101. The reversal of 21221110103100 is 130101112212.

It is a super-2 number, since 2×21221110103100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21221110103100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221110103101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56041057 + ... + 56418456.

It is an arithmetic number, because the mean of its divisors is an integer number (463670576222).

Almost surely, 2^{21221110103100} is an apocalyptic number.

21221110103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221110103100 is an abundant number, since it is smaller than the sum of its proper divisors (45547452872868).

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

21221110103100 is a wasteful number, since it uses less digits than its factorization.

21221110103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112459584 (or 112459577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21221110103100 its reverse (130101112212), we get a palindrome (21351211215312).

The spelling of 21221110103100 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, one hundred three thousand, one hundred".