101002114031 has 16 divisors (see below), whose sum is σ = 125541100608. Its totient is φ = 79122528000.

The previous prime is 101002114027. The next prime is 101002114033. The reversal of 101002114031 is 130411200101.

It is a cyclic number.

It is not a de Polignac number, because 101002114031 - 2² = 101002114027 is a prime.

It is a super-2 number, since 2×101002114031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002113997 and 101002114015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002114033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5485430 + ... + 5503811.

It is an arithmetic number, because the mean of its divisors is an integer number (7846318788).

Almost surely, 2^101002114031 is an apocalyptic number.

101002114031 is a deficient number, since it is larger than the sum of its proper divisors (24538986577).

101002114031 is a wasteful number, since it uses less digits than its factorization.

101002114031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989362.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101002114031 its reverse (130411200101), we get a palindrome (231413314132).

The spelling of 101002114031 in words is "one hundred one billion, two million, one hundred fourteen thousand, thirty-one".