114515231100100 has 18 divisors (see below), whose sum is σ = 248498051487434. Its totient is φ = 45806092440000.

The previous prime is 114515231100071. The next prime is 114515231100131. The reversal of 114515231100100 is 1001132515411.

It can be written as a sum of positive squares in 3 ways, for example, as 24717499524 + 114490513600576 = 157218^2 + 10700024^2 .

It is a super-2 number, since 2×114515231100100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 572576155401 + ... + 572576155600.

Almost surely, 2^{114515231100100} is an apocalyptic number.

114515231100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114515231100100 is an abundant number, since it is smaller than the sum of its proper divisors (133982820387334).

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

114515231100100 is a wasteful number, since it uses less digits than its factorization.

114515231100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145152311015 (or 1145152311008 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

Adding to 114515231100100 its reverse (1001132515411), we get a palindrome (115516363615511).

The spelling of 114515231100100 in words is "one hundred fourteen trillion, five hundred fifteen billion, two hundred thirty-one million, one hundred thousand, one hundred".