10201112221000 has 32 divisors (see below), whose sum is σ = 23870602599480. Its totient is φ = 4080444888000.

The previous prime is 10201112220997. The next prime is 10201112221021. The reversal of 10201112221000 is 12221110201.

It can be written as a sum of positive squares in 4 ways, for example, as 1264324834084 + 8936787386916 = 1124422^2 + 2989446^2 .

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, 5100555111 + ... + 5100557110.

Almost surely, 2^{10201112221000} is an apocalyptic number.

10201112221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112221000 is an abundant number, since it is smaller than the sum of its proper divisors (13669490378480).

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

10201112221000 is a wasteful number, since it uses less digits than its factorization.

10201112221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201112242 (or 10201112228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201112221000 its reverse (12221110201), we get a palindrome (10213333331201).

The spelling of 10201112221000 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred twenty-one thousand".