100110012002001 has 24 divisors (see below), whose sum is σ = 149268475399680. Its totient is φ = 64586887948800.

The previous prime is 100110012001973. The next prime is 100110012002009. The reversal of 100110012002001 is 100200210011001.

It is a happy number.

100110012002001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100110012002001 - 2³⁵ = 100075652263633 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110012002009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152025265 + ... + 152682353.

It is an arithmetic number, because the mean of its divisors is an integer number (6219519808320).

Almost surely, 2^{100110012002001} is an apocalyptic number.

It is an amenable number.

100110012002001 is a deficient number, since it is larger than the sum of its proper divisors (49158463397679).

100110012002001 is a wasteful number, since it uses less digits than its factorization.

100110012002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203197 (or 1203194 counting only the distinct ones).

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

Adding to 100110012002001 its reverse (100200210011001), we get a palindrome (200310222013002).

The spelling of 100110012002001 in words is "one hundred trillion, one hundred ten billion, twelve million, two thousand, one".