114240015521100 has 108 divisors (see below), whose sum is σ = 409233122289264. Its totient is φ = 26112003546240.

The previous prime is 114240015521069. The next prime is 114240015521141. The reversal of 114240015521100 is 1125510042411.

114240015521100 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 0 + 0 + 1 + 552 + 1 + 100 = 666.

It is a super-2 number, since 2×114240015521100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9066661599 + ... + 9066674198.

Almost surely, 2^{114240015521100} is an apocalyptic number.

114240015521100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114240015521100 is an abundant number, since it is smaller than the sum of its proper divisors (294993106768164).

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

114240015521100 is a wasteful number, since it uses less digits than its factorization.

114240015521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18133335824 (or 18133335814 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 114240015521100 its reverse (1125510042411), we get a palindrome (115365525563511).

The spelling of 114240015521100 in words is "one hundred fourteen trillion, two hundred forty billion, fifteen million, five hundred twenty-one thousand, one hundred".