10202212112000 has 64 divisors (see below), whose sum is σ = 25365249903240. Its totient is φ = 4080884838400.

The previous prime is 10202212111979. The next prime is 10202212112041. The reversal of 10202212112000 is 21121220201.

It can be written as a sum of positive squares in 4 ways, for example, as 3438176309824 + 6764035802176 = 1854232^2 + 2600776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 318803129 + ... + 318835128.

Almost surely, 2^{10202212112000} is an apocalyptic number.

10202212112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202212112000 is an abundant number, since it is smaller than the sum of its proper divisors (15163037791240).

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

10202212112000 is an frugal number, since it uses more digits than its factorization.

10202212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637638286 (or 637638264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202212112000 its reverse (21121220201), we get a palindrome (10223333332201).

The spelling of 10202212112000 in words is "ten trillion, two hundred two billion, two hundred twelve million, one hundred twelve thousand".