10210220223200 has 144 divisors (see below), whose sum is σ = 27539393303520. Its totient is φ = 3676723691520.

The previous prime is 10210220223157. The next prime is 10210220223241. The reversal of 10210220223200 is 232202201201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16007885 + ... + 16633484.

It is an arithmetic number, because the mean of its divisors is an integer number (191245786830).

Almost surely, 2^{10210220223200} is an apocalyptic number.

10210220223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210220223200 is an abundant number, since it is smaller than the sum of its proper divisors (17329173080320).

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

10210220223200 is a wasteful number, since it uses less digits than its factorization.

10210220223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32641429 (or 32641416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10210220223200 its reverse (232202201201), we get a palindrome (10442422424401).

The spelling of 10210220223200 in words is "ten trillion, two hundred ten billion, two hundred twenty million, two hundred twenty-three thousand, two hundred".