101010000021001 has 16 divisors (see below), whose sum is σ = 106741877457600. Its totient is φ = 95585059120320.

The previous prime is 101010000020983. The next prime is 101010000021031. The reversal of 101010000021001 is 100120000010101.

It is not a de Polignac number, because 101010000021001 - 2²⁵ = 101009966466569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010000021031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315131 + ... + 14400688.

It is an arithmetic number, because the mean of its divisors is an integer number (6671367341100).

Almost surely, 2^{101010000021001} is an apocalyptic number.

It is an amenable number.

101010000021001 is a deficient number, since it is larger than the sum of its proper divisors (5731877436599).

101010000021001 is an frugal number, since it uses more digits than its factorization.

101010000021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16716757 (or 16716719 counting only the distinct ones).

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

Adding to 101010000021001 its reverse (100120000010101), we get a palindrome (201130000031102).

The spelling of 101010000021001 in words is "one hundred one trillion, ten billion, twenty-one thousand, one".