100101002221311 has 64 divisors (see below), whose sum is σ = 164862781741056. Its totient is φ = 52609471488000.

The previous prime is 100101002221301. The next prime is 100101002221327. The reversal of 100101002221311 is 113122200101001.

It is not a de Polignac number, because 100101002221311 - 2²² = 100100998027007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002221301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1848526086 + ... + 1848580236.

It is an arithmetic number, because the mean of its divisors is an integer number (2575980964704).

Almost surely, 2^{100101002221311} is an apocalyptic number.

100101002221311 is a deficient number, since it is larger than the sum of its proper divisors (64761779519745).

100101002221311 is a wasteful number, since it uses less digits than its factorization.

100101002221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78552.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100101002221311 its reverse (113122200101001), we get a palindrome (213223202322312).

The spelling of 100101002221311 in words is "one hundred trillion, one hundred one billion, two million, two hundred twenty-one thousand, three hundred eleven".