1002112252200 has 120 divisors (see below), whose sum is σ = 3480484369230. Its totient is φ = 267229929600.

The previous prime is 1002112252181. The next prime is 1002112252243. The reversal of 1002112252200 is 22522112001.

1002112252200 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 122 + 522 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 434895405156 + 567216847044 = 659466^2 + 753138^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 30913191 + ... + 30945590.

Almost surely, 2^{1002112252200} is an apocalyptic number.

1002112252200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112252200 is an abundant number, since it is smaller than the sum of its proper divisors (2478372117030).

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

1002112252200 is a wasteful number, since it uses less digits than its factorization.

1002112252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61858809 (or 61858791 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1002112252200 its reverse (22522112001), we get a palindrome (1024634364201).

The spelling of 1002112252200 in words is "one trillion, two billion, one hundred twelve million, two hundred fifty-two thousand, two hundred".