101002110001 has 8 divisors (see below), whose sum is σ = 113500699200. Its totient is φ = 89179120272.

The previous prime is 101002109987. The next prime is 101002110037. The reversal of 101002110001 is 100011200101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002110001 - 2⁵ = 101002109969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002110401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168899551 + ... + 168900148.

It is an arithmetic number, because the mean of its divisors is an integer number (14187587400).

Almost surely, 2^101002110001 is an apocalyptic number.

It is an amenable number.

101002110001 is a deficient number, since it is larger than the sum of its proper divisors (12498589199).

101002110001 is a wasteful number, since it uses less digits than its factorization.

101002110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337799735.

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

Adding to 101002110001 its reverse (100011200101), we get a palindrome (201013310102).

The spelling of 101002110001 in words is "one hundred one billion, two million, one hundred ten thousand, one".