10020102100107 has 64 divisors (see below), whose sum is σ = 14671434645504. Its totient is φ = 6032648096640.

The previous prime is 10020102100087. The next prime is 10020102100111. The reversal of 10020102100107 is 70100120102001.

It is not a de Polignac number, because 10020102100107 - 2²⁰ = 10020101051531 is a prime.

It is a super-2 number, since 2×10020102100107² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10020102100007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7329993538 + ... + 7329994904.

It is an arithmetic number, because the mean of its divisors is an integer number (229241166336).

Almost surely, 2^{10020102100107} is an apocalyptic number.

10020102100107 is a deficient number, since it is larger than the sum of its proper divisors (4651332545397).

10020102100107 is a wasteful number, since it uses less digits than its factorization.

10020102100107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 10020102100107 its reverse (70100120102001), we get a palindrome (80120222202108).

The spelling of 10020102100107 in words is "ten trillion, twenty billion, one hundred two million, one hundred thousand, one hundred seven".