10200002202100 has 54 divisors (see below), whose sum is σ = 22871037411222. Its totient is φ = 3948387912000.

The previous prime is 10200002202037. The next prime is 10200002202107. The reversal of 10200002202100 is 120220000201.

It can be written as a sum of positive squares in 3 ways, for example, as 2079531275364 + 8120470926736 = 1442058^2 + 2849644^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200002202107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52973631 + ... + 53165830.

Almost surely, 2^{10200002202100} is an apocalyptic number.

10200002202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200002202100 is an abundant number, since it is smaller than the sum of its proper divisors (12671035209122).

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

10200002202100 is a wasteful number, since it uses less digits than its factorization.

10200002202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106139537 (or 106139499 counting only the distinct ones).

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

Adding to 10200002202100 its reverse (120220000201), we get a palindrome (10320222202301).

The spelling of 10200002202100 in words is "ten trillion, two hundred billion, two million, two hundred two thousand, one hundred".