100101101002 has 64 divisors (see below), whose sum is σ = 175763478528. Its totient is φ = 41873832000.

The previous prime is 100101100997. The next prime is 100101101059. The reversal of 100101101002 is 200101101001.

100101101002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86070873 + ... + 86072035.

It is an arithmetic number, because the mean of its divisors is an integer number (2746304352).

Almost surely, 2^100101101002 is an apocalyptic number.

100101101002 is a deficient number, since it is larger than the sum of its proper divisors (75662377526).

100101101002 is a wasteful number, since it uses less digits than its factorization.

100101101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101101002 its reverse (200101101001), we get a palindrome (300202202003).

Subtracting 100101101002 from its reverse (200101101001), we obtain a palindrome (99999999999).

The spelling of 100101101002 in words is "one hundred billion, one hundred one million, one hundred one thousand, two".