21011012012100 has 144 divisors (see below), whose sum is σ = 66552737852160. Its totient is φ = 5075579932800.

The previous prime is 21011012012069. The next prime is 21011012012167. The reversal of 21011012012100 is 121021011012.

It is a super-2 number, since 2×21011012012100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10315170 + ... + 12182969.

It is an arithmetic number, because the mean of its divisors is an integer number (462171790640).

Almost surely, 2^{21011012012100} is an apocalyptic number.

21011012012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011012012100 is an abundant number, since it is smaller than the sum of its proper divisors (45541725840060).

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

21011012012100 is a wasteful number, since it uses less digits than its factorization.

21011012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22498450 (or 22498443 counting only the distinct ones).

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

Adding to 21011012012100 its reverse (121021011012), we get a palindrome (21132033023112).

The spelling of 21011012012100 in words is "twenty-one trillion, eleven billion, twelve million, twelve thousand, one hundred".