100202000122000 has 120 divisors (see below), whose sum is σ = 281845732292280. Its totient is φ = 34354971436800.

The previous prime is 100202000121997. The next prime is 100202000122019. The reversal of 100202000122000 is 221000202001.

It can be written as a sum of positive squares in 4 ways, for example, as 2127362268304 + 98074637853696 = 1458548^2 + 9903264^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 511136695 + ... + 511332694.

It is an arithmetic number, because the mean of its divisors is an integer number (2348714435769).

Almost surely, 2^{100202000122000} is an apocalyptic number.

100202000122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202000122000 is an abundant number, since it is smaller than the sum of its proper divisors (181643732170280).

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

100202000122000 is a wasteful number, since it uses less digits than its factorization.

100202000122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022469426 (or 1022469403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202000122000 its reverse (221000202001), we get a palindrome (100423000324001).

The spelling of 100202000122000 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two thousand".