20414072100 has 36 divisors (see below), whose sum is σ = 59064716144. Its totient is φ = 5443752480.

The previous prime is 20414072099. The next prime is 20414072101. The reversal of 20414072100 is 127041402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20414072099) and next prime (20414072101).

It is not an unprimeable number, because it can be changed into a prime (20414072101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34023154 + ... + 34023753.

Almost surely, 2^20414072100 is an apocalyptic number.

20414072100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414072100 is an abundant number, since it is smaller than the sum of its proper divisors (38650644044).

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

20414072100 is a wasteful number, since it uses less digits than its factorization.

20414072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68046924 (or 68046917 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 20414072100 in words is "twenty billion, four hundred fourteen million, seventy-two thousand, one hundred".