10200111202000 has 80 divisors (see below), whose sum is σ = 25961967345600. Its totient is φ = 3865305283200.

The previous prime is 10200111201953. The next prime is 10200111202027. The reversal of 10200111202000 is 20211100201.

It is a tau number, because it is divible by the number of its divisors (80).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134173990 + ... + 134249989.

It is an arithmetic number, because the mean of its divisors is an integer number (324524591820).

Almost surely, 2^{10200111202000} is an apocalyptic number.

10200111202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200111202000 is an abundant number, since it is smaller than the sum of its proper divisors (15761856143600).

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

10200111202000 is a wasteful number, since it uses less digits than its factorization.

10200111202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268424021 (or 268424005 counting only the distinct ones).

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

Adding to 10200111202000 its reverse (20211100201), we get a palindrome (10220322302201).

The spelling of 10200111202000 in words is "ten trillion, two hundred billion, one hundred eleven million, two hundred two thousand".