114054722100 has 216 divisors, whose sum is σ = 412939695168. Its totient is φ = 26023142400.

The previous prime is 114054722087. The next prime is 114054722113. The reversal of 114054722100 is 1227450411.

114054722100 is a `hidden beast` number, since 1 + 1 + 405 + 47 + 2 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114054722087) and next prime (114054722113).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170544 + ... + 507143.

It is an arithmetic number, because the mean of its divisors is an integer number (1911757848).

Almost surely, 2^114054722100 is an apocalyptic number.

114054722100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114054722100 is an abundant number, since it is smaller than the sum of its proper divisors (298884973068).

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

114054722100 is a wasteful number, since it uses less digits than its factorization.

114054722100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677735 (or 677725 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 114054722100 in words is "one hundred fourteen billion, fifty-four million, seven hundred twenty-two thousand, one hundred".