101100112002 has 24 divisors (see below), whose sum is σ = 219065786940. Its totient is φ = 33697645920.

The previous prime is 101100111979. The next prime is 101100112033. The reversal of 101100112002 is 200211001101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90697947921 + 10402164081 = 301161^2 + 101991^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71352 + ... + 455292.

Almost surely, 2^101100112002 is an apocalyptic number.

101100112002 is an abundant number, since it is smaller than the sum of its proper divisors (117965674938).

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

101100112002 is a wasteful number, since it uses less digits than its factorization.

101100112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398578 (or 398575 counting only the distinct ones).

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

Adding to 101100112002 its reverse (200211001101), we get a palindrome (301311113103).

The spelling of 101100112002 in words is "one hundred one billion, one hundred million, one hundred twelve thousand, two".