21656330405100 has 144 divisors (see below), whose sum is σ = 70601671203840. Its totient is φ = 5693683060800.

The previous prime is 21656330405093. The next prime is 21656330405107. The reversal of 21656330405100 is 150403365612.

21656330405100 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 633 + 0 + 4 + 0 + 5 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21656330405093) and next prime (21656330405107).

It is a super-2 number, since 2×21656330405100² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21656330405107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56293252 + ... + 56676651.

It is an arithmetic number, because the mean of its divisors is an integer number (490289383360).

Almost surely, 2^{21656330405100} is an apocalyptic number.

21656330405100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21656330405100 is an abundant number, since it is smaller than the sum of its proper divisors (48945340798740).

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

21656330405100 is a wasteful number, since it uses less digits than its factorization.

21656330405100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112969997 (or 112969984 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 21656330405100 in words is "twenty-one trillion, six hundred fifty-six billion, three hundred thirty million, four hundred five thousand, one hundred".