20101002202031 has 16 divisors (see below), whose sum is σ = 20885863654656. Its totient is φ = 19332151800000.

The previous prime is 20101002201997. The next prime is 20101002202067. The reversal of 20101002202031 is 13020220010102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20101002202031 - 2⁶ = 20101002201967 is a prime.

It is a super-2 number, since 2×20101002202031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101002201997 and 20101002202015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101002202091) 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, 11581385 + ... + 13203426.

It is an arithmetic number, because the mean of its divisors is an integer number (1305366478416).

Almost surely, 2^{20101002202031} is an apocalyptic number.

20101002202031 is a deficient number, since it is larger than the sum of its proper divisors (784861452625).

20101002202031 is a wasteful number, since it uses less digits than its factorization.

20101002202031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24785134.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20101002202031 its reverse (13020220010102), we get a palindrome (33121222212133).

The spelling of 20101002202031 in words is "twenty trillion, one hundred one billion, two million, two hundred two thousand, thirty-one".