20114705312100 has 432 divisors, whose sum is σ = 72724248350208. Its totient is φ = 4555001364480.

The previous prime is 20114705312041. The next prime is 20114705312123. The reversal of 20114705312100 is 121350741102.

20114705312100 is a `hidden beast` number, since 2 + 0 + 114 + 7 + 0 + 531 + 2 + 10 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2233225797 + ... + 2233234803.

Almost surely, 2^{20114705312100} is an apocalyptic number.

20114705312100 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 20114705312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36362124175104).

20114705312100 is an abundant number, since it is smaller than the sum of its proper divisors (52609543038108).

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

20114705312100 is a wasteful number, since it uses less digits than its factorization.

20114705312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 20114705312100 in words is "twenty trillion, one hundred fourteen billion, seven hundred five million, three hundred twelve thousand, one hundred".