101440114100 has 72 divisors (see below), whose sum is σ = 242101671168. Its totient is φ = 36657878400.

The previous prime is 101440114081. The next prime is 101440114117. The reversal of 101440114100 is 1411044101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769016 + ... + 891215.

Almost surely, 2^101440114100 is an apocalyptic number.

101440114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101440114100 is an abundant number, since it is smaller than the sum of its proper divisors (140661557068).

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

101440114100 is a wasteful number, since it uses less digits than its factorization.

101440114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660305 (or 1660298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101440114100 its reverse (1411044101), we get a palindrome (102851158201).

The spelling of 101440114100 in words is "one hundred one billion, four hundred forty million, one hundred fourteen thousand, one hundred".