10020200202100 has 144 divisors (see below), whose sum is σ = 25981938924480. Its totient is φ = 3311118899200.

The previous prime is 10020200202079. The next prime is 10020200202137. The reversal of 10020200202100 is 120200202001.

10020200202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8696314 + ... + 9780913.

It is an arithmetic number, because the mean of its divisors is an integer number (180430131420).

Almost surely, 2^{10020200202100} is an apocalyptic number.

10020200202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020200202100 is an abundant number, since it is smaller than the sum of its proper divisors (15961738722380).

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

10020200202100 is a wasteful number, since it uses less digits than its factorization.

10020200202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477298 (or 18477291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020200202100 its reverse (120200202001), we get a palindrome (10140400404101).

Subtracting from 10020200202100 its reverse (120200202001), we obtain a palindrome (9900000000099).

The spelling of 10020200202100 in words is "ten trillion, twenty billion, two hundred million, two hundred two thousand, one hundred".