10201020021100 has 18 divisors (see below), whose sum is σ = 22136213446004. Its totient is φ = 4080408008400.

The previous prime is 10201020021061. The next prime is 10201020021103. The reversal of 10201020021100 is 112002010201.

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

It is not an unprimeable number, because it can be changed into a prime (10201020021103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51005100006 + ... + 51005100205.

Almost surely, 2^{10201020021100} is an apocalyptic number.

10201020021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201020021100 is an abundant number, since it is smaller than the sum of its proper divisors (11935193424904).

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

10201020021100 is a wasteful number, since it uses less digits than its factorization.

10201020021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102010200225 (or 102010200218 counting only the distinct ones).

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

Adding to 10201020021100 its reverse (112002010201), we get a palindrome (10313022031301).

The spelling of 10201020021100 in words is "ten trillion, two hundred one billion, twenty million, twenty-one thousand, one hundred".