10200091939200 has 144 divisors (see below), whose sum is σ = 36396265662900. Its totient is φ = 2720024509440.

The previous prime is 10200091939153. The next prime is 10200091939237. The reversal of 10200091939200 is 293919000201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 177056130 + ... + 177113729.

Almost surely, 2^{10200091939200} is an apocalyptic number.

10200091939200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200091939200 is an abundant number, since it is smaller than the sum of its proper divisors (26196173723700).

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

10200091939200 is a wasteful number, since it uses less digits than its factorization.

10200091939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354169889 (or 354169869 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 10200091939200 in words is "ten trillion, two hundred billion, ninety-one million, nine hundred thirty-nine thousand, two hundred".