100112102002002 has 64 divisors (see below), whose sum is σ = 203606199624960. Its totient is φ = 32809748025600.

The previous prime is 100112102002001. The next prime is 100112102002021. The reversal of 100112102002002 is 200200201211001.

It is not an unprimeable number, because it can be changed into a prime (100112102002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251700624 + ... + 252098052.

It is an arithmetic number, because the mean of its divisors is an integer number (3181346869140).

Almost surely, 2^{100112102002002} is an apocalyptic number.

100112102002002 is an abundant number, since it is smaller than the sum of its proper divisors (103494097622958).

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

100112102002002 is a wasteful number, since it uses less digits than its factorization.

100112102002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399139.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112102002002 its reverse (200200201211001), we get a palindrome (300312303213003).

The spelling of 100112102002002 in words is "one hundred trillion, one hundred twelve billion, one hundred two million, two thousand, two".