10219771200 has 84 divisors (see below), whose sum is σ = 33529381760. Its totient is φ = 2725271040.

The previous prime is 10219771193. The next prime is 10219771273. The reversal of 10219771200 is 217791201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1059760 + ... + 1069359.

Almost surely, 2^10219771200 is an apocalyptic number.

10219771200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10219771200 is an abundant number, since it is smaller than the sum of its proper divisors (23309610560).

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

10219771200 is a wasteful number, since it uses less digits than its factorization.

10219771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129144 (or 2129129 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 10219771200 in words is "ten billion, two hundred nineteen million, seven hundred seventy-one thousand, two hundred".