21111012100 has 72 divisors (see below), whose sum is σ = 48719555360. Its totient is φ = 7917419520.

The previous prime is 21111012071. The next prime is 21111012163. The reversal of 21111012100 is 121011112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127027 + ... + 241573.

Almost surely, 2^21111012100 is an apocalyptic number.

21111012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24359777680).

21111012100 is an abundant number, since it is smaller than the sum of its proper divisors (27608543260).

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

21111012100 is a wasteful number, since it uses less digits than its factorization.

21111012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114677 (or 114670 counting only the distinct ones).

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

Adding to 21111012100 its reverse (121011112), we get a palindrome (21232023212).

It can be divided in two parts, 21111012 and 100, that added together give a palindrome (21111112).

The spelling of 21111012100 in words is "twenty-one billion, one hundred eleven million, twelve thousand, one hundred".