10102200110020 has 96 divisors (see below), whose sum is σ = 22162749541632. Its totient is φ = 3860696007168.

The previous prime is 10102200109979. The next prime is 10102200110033. The reversal of 10102200110020 is 2001100220101.

It is a super-3 number, since 3×10102200110020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102200109979 and 10102200110006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134415574 + ... + 2134420306.

It is an arithmetic number, because the mean of its divisors is an integer number (230861974392).

Almost surely, 2^{10102200110020} is an apocalyptic number.

10102200110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102200110020 is an abundant number, since it is smaller than the sum of its proper divisors (12060549431612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102200110020 is a wasteful number, since it uses less digits than its factorization.

10102200110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102200110020 its reverse (2001100220101), we get a palindrome (12103300330121).

The spelling of 10102200110020 in words is "ten trillion, one hundred two billion, two hundred million, one hundred ten thousand, twenty".