101020002212001 has 16 divisors (see below), whose sum is σ = 135092729304000. Its totient is φ = 67147003895808.

The previous prime is 101020002211967. The next prime is 101020002212011. The reversal of 101020002212001 is 100212200020101.

It is not a de Polignac number, because 101020002212001 - 2²¹ = 101020000114849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101020002212011) 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, 8516065 + ... + 16569953.

It is an arithmetic number, because the mean of its divisors is an integer number (8443295581500).

Almost surely, 2^{101020002212001} is an apocalyptic number.

It is an amenable number.

101020002212001 is a deficient number, since it is larger than the sum of its proper divisors (34072727091999).

101020002212001 is a wasteful number, since it uses less digits than its factorization.

101020002212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066288.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020002212001 its reverse (100212200020101), we get a palindrome (201232202232102).

The spelling of 101020002212001 in words is "one hundred one trillion, twenty billion, two million, two hundred twelve thousand, one".