100010100112002 has 32 divisors (see below), whose sum is σ = 222245219174400. Its totient is φ = 33336617198544.

The previous prime is 100010100111979. The next prime is 100010100112007. The reversal of 100010100112002 is 200211001010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100010100112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21982324 + ... + 26138912.

It is an arithmetic number, because the mean of its divisors is an integer number (6945163099200).

Almost surely, 2^{100010100112002} is an apocalyptic number.

100010100112002 is an abundant number, since it is smaller than the sum of its proper divisors (122235119062398).

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

100010100112002 is a wasteful number, since it uses less digits than its factorization.

100010100112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602167 (or 4602161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100010100112002 its reverse (200211001010001), we get a palindrome (300221101122003).

The spelling of 100010100112002 in words is "one hundred trillion, ten billion, one hundred million, one hundred twelve thousand, two".