100112121201002 has 16 divisors (see below), whose sum is σ = 151656333315624. Its totient is φ = 49560018840000.

The previous prime is 100112121200869. The next prime is 100112121201023. The reversal of 100112121201002 is 200102121211001.

It can be written as a sum of positive squares in 4 ways, for example, as 83984596104721 + 16127525096281 = 9164311^2 + 4015909^2 .

It is a super-2 number, since 2×100112121201002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21397352 + ... + 25652892.

Almost surely, 2^{100112121201002} is an apocalyptic number.

100112121201002 is a deficient number, since it is larger than the sum of its proper divisors (51544212114622).

100112121201002 is a wasteful number, since it uses less digits than its factorization.

100112121201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372105.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112121201002 its reverse (200102121211001), we get a palindrome (300214242412003).

Subtracting 100112121201002 from its reverse (200102121211001), we obtain a palindrome (99990000009999).

The spelling of 100112121201002 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, two hundred one thousand, two".