21020012100 has 216 divisors, whose sum is σ = 71248439808. Its totient is φ = 5163187200.

The previous prime is 21020012099. The next prime is 21020012129. The reversal of 21020012100 is 121002012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 704485 + ... + 733715.

It is an arithmetic number, because the mean of its divisors is an integer number (329853888).

Almost surely, 2^21020012100 is an apocalyptic number.

21020012100 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 21020012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35624219904).

21020012100 is an abundant number, since it is smaller than the sum of its proper divisors (50228427708).

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

21020012100 is a wasteful number, since it uses less digits than its factorization.

21020012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29315 (or 29305 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21020012100 its reverse (121002012), we get a palindrome (21141014112).

The spelling of 21020012100 in words is "twenty-one billion, twenty million, twelve thousand, one hundred".