10200012022100 has 72 divisors (see below), whose sum is σ = 22270279194240. Its totient is φ = 4054897192320.

The previous prime is 10200012022097. The next prime is 10200012022121. The reversal of 10200012022100 is 122021000201.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106782161 + ... + 106877639.

Almost surely, 2^{10200012022100} is an apocalyptic number.

10200012022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200012022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11135139597120).

10200012022100 is an abundant number, since it is smaller than the sum of its proper divisors (12070267172140).

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

10200012022100 is a wasteful number, since it uses less digits than its factorization.

10200012022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102057 (or 102050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200012022100 its reverse (122021000201), we get a palindrome (10322033022301).

The spelling of 10200012022100 in words is "ten trillion, two hundred billion, twelve million, twenty-two thousand, one hundred".