10191021200 has 60 divisors (see below), whose sum is σ = 24726441588. Its totient is φ = 4036032000.

The previous prime is 10191021173. The next prime is 10191021221. The reversal of 10191021200 is 212019101.

10191021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 200618896 + 9990402304 = 14164^2 + 99952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85727 + ... + 166526.

Almost surely, 2^10191021200 is an apocalyptic number.

10191021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10191021200 is an abundant number, since it is smaller than the sum of its proper divisors (14535420388).

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

10191021200 is a wasteful number, since it uses less digits than its factorization.

10191021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252372 (or 252361 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10191021200 in words is "ten billion, one hundred ninety-one million, twenty-one thousand, two hundred".