10102200013031 has 16 divisors (see below), whose sum is σ = 11659508410368. Its totient is φ = 8573455368000.

The previous prime is 10102200012953. The next prime is 10102200013043. The reversal of 10102200013031 is 13031000220101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102200013031 is a prime.

It is a super-2 number, since 2×10102200013031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102200012997 and 10102200013015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102203013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2890931 + ... + 5344331.

It is an arithmetic number, because the mean of its divisors is an integer number (728719275648).

Almost surely, 2^{10102200013031} is an apocalyptic number.

10102200013031 is a deficient number, since it is larger than the sum of its proper divisors (1557308397337).

10102200013031 is a wasteful number, since it uses less digits than its factorization.

10102200013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459222.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10102200013031 its reverse (13031000220101), we get a palindrome (23133200233132).

The spelling of 10102200013031 in words is "ten trillion, one hundred two billion, two hundred million, thirteen thousand, thirty-one".