100101001012002 has 16 divisors (see below), whose sum is σ = 222446668915680. Its totient is φ = 33367000337316.

The previous prime is 100101001011959. The next prime is 100101001012049. The reversal of 100101001012002 is 200210100101001.

It is a happy number.

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

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, 926861120428 + ... + 926861120535.

It is an arithmetic number, because the mean of its divisors is an integer number (13902916807230).

Almost surely, 2^{100101001012002} is an apocalyptic number.

100101001012002 is an abundant number, since it is smaller than the sum of its proper divisors (122345667903678).

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

100101001012002 is a wasteful number, since it uses less digits than its factorization.

100101001012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853722240974 (or 1853722240968 counting only the distinct ones).

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

Adding to 100101001012002 its reverse (200210100101001), we get a palindrome (300311101113003).

The spelling of 100101001012002 in words is "one hundred trillion, one hundred one billion, one million, twelve thousand, two".