100200014401131 has 24 divisors (see below), whose sum is σ = 144922941661680. Its totient is φ = 66712529198016.

The previous prime is 100200014401013. The next prime is 100200014401133. The reversal of 100200014401131 is 131104410002001.

100200014401131 is a `hidden beast` number, since 10 + 0 + 200 + 0 + 1 + 440 + 1 + 13 + 1 = 666.

It is not a de Polignac number, because 100200014401131 - 2¹³ = 100200014392939 is a prime.

It is a super-2 number, since 2×100200014401131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100200014401133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55202725 + ... + 56988953.

It is an arithmetic number, because the mean of its divisors is an integer number (6038455902570).

Almost surely, 2^{100200014401131} is an apocalyptic number.

100200014401131 is a deficient number, since it is larger than the sum of its proper divisors (44722927260549).

100200014401131 is a wasteful number, since it uses less digits than its factorization.

100200014401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794395 (or 1794392 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100200014401131 its reverse (131104410002001), we get a palindrome (231304424403132).

The spelling of 100200014401131 in words is "one hundred trillion, two hundred billion, fourteen million, four hundred one thousand, one hundred thirty-one".