21130212995100 has 360 divisors, whose sum is σ = 74732670459216. Its totient is φ = 5121792000000.

The previous prime is 21130212995083. The next prime is 21130212995107. The reversal of 21130212995100 is 159921203112.

21130212995100 is a `hidden beast` number, since 2 + 1 + 1 + 30 + 21 + 2 + 99 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130212995107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1083535350 + ... + 1083554850.

Almost surely, 2^{21130212995100} is an apocalyptic number.

21130212995100 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 21130212995100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37366335229608).

21130212995100 is an abundant number, since it is smaller than the sum of its proper divisors (53602457464116).

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

21130212995100 is a wasteful number, since it uses less digits than its factorization.

21130212995100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31699 (or 31683 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 21130212995100 in words is "twenty-one trillion, one hundred thirty billion, two hundred twelve million, nine hundred ninety-five thousand, one hundred".