10200202122100 has 36 divisors (see below), whose sum is σ = 22134584622304. Its totient is φ = 4080053933280.

The previous prime is 10200202122083. The next prime is 10200202122151. The reversal of 10200202122100 is 122120200201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22843579 + ... + 23285821.

Almost surely, 2^{10200202122100} is an apocalyptic number.

10200202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200202122100 is an abundant number, since it is smaller than the sum of its proper divisors (11934382500204).

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

10200202122100 is a wasteful number, since it uses less digits than its factorization.

10200202122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672904 (or 672897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200202122100 its reverse (122120200201), we get a palindrome (10322322322301).

The spelling of 10200202122100 in words is "ten trillion, two hundred billion, two hundred two million, one hundred twenty-two thousand, one hundred".