201431121134102 has 32 divisors (see below), whose sum is σ = 303750890127360. Its totient is φ = 100181791876320.

The previous prime is 201431121134063. The next prime is 201431121134141.

It is a happy number.

201431121134102 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (201431121134063) and next prime (201431121134141).

It is a super-2 number, since 2×201431121134102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5701885163 + ... + 5701920489.

It is an arithmetic number, because the mean of its divisors is an integer number (9492215316480).

Almost surely, 2^{201431121134102} is an apocalyptic number.

201431121134102 is a deficient number, since it is larger than the sum of its proper divisors (102319768993258).

201431121134102 is a wasteful number, since it uses less digits than its factorization.

201431121134102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48596.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 201431121134102 in words is "two hundred one trillion, four hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-four thousand, one hundred two".