21320122022100 has 216 divisors, whose sum is σ = 72961546537152. Its totient is φ = 5164285401600.

The previous prime is 21320122022071. The next prime is 21320122022123. The reversal of 21320122022100 is 122022102312.

21320122022100 is a `hidden beast` number, since 2 + 1 + 320 + 1 + 220 + 22 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 11227264 + ... + 12988136.

It is an arithmetic number, because the mean of its divisors is an integer number (337784937672).

Almost surely, 2^{21320122022100} is an apocalyptic number.

21320122022100 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 21320122022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480773268576).

21320122022100 is an abundant number, since it is smaller than the sum of its proper divisors (51641424515052).

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

21320122022100 is a wasteful number, since it uses less digits than its factorization.

21320122022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762127 (or 1762117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21320122022100 its reverse (122022102312), we get a palindrome (21442144124412).

The spelling of 21320122022100 in words is "twenty-one trillion, three hundred twenty billion, one hundred twenty-two million, twenty-two thousand, one hundred".