101102001222001 has 16 divisors (see below), whose sum is σ = 110935244241360. Its totient is φ = 91562554736640.

The previous prime is 101102001221959. The next prime is 101102001222029. The reversal of 101102001222001 is 100222100201101.

It can be written as a sum of positive squares in 8 ways, for example, as 14024455765776 + 87077545456225 = 3744924^2 + 9331535^2 .

It is not a de Polignac number, because 101102001222001 - 2²⁷ = 101101867004273 is a prime.

It is a super-2 number, since 2×101102001222001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102001922001) 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, 41342721 + ... + 43719841.

It is an arithmetic number, because the mean of its divisors is an integer number (6933452765085).

Almost surely, 2^{101102001222001} is an apocalyptic number.

It is an amenable number.

101102001222001 is a deficient number, since it is larger than the sum of its proper divisors (9833243019359).

101102001222001 is a wasteful number, since it uses less digits than its factorization.

101102001222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438916.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102001222001 its reverse (100222100201101), we get a palindrome (201324101423102).

The spelling of 101102001222001 in words is "one hundred one trillion, one hundred two billion, one million, two hundred twenty-two thousand, one".