101321220211113 has 32 divisors (see below), whose sum is σ = 159392642252800. Its totient is φ = 56023859926080.

The previous prime is 101321220211061. The next prime is 101321220211129. The reversal of 101321220211113 is 311112022123101.

It is not a de Polignac number, because 101321220211113 - 2²² = 101321216016809 is a prime.

It is a super-3 number, since 3×101321220211113³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101321220211113.

It is not an unprimeable number, because it can be changed into a prime (101321220219113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2971138 + ... + 14542011.

It is an arithmetic number, because the mean of its divisors is an integer number (4981020070400).

Almost surely, 2^{101321220211113} is an apocalyptic number.

It is an amenable number.

101321220211113 is a deficient number, since it is larger than the sum of its proper divisors (58071422041687).

101321220211113 is a wasteful number, since it uses less digits than its factorization.

101321220211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17522077.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101321220211113 its reverse (311112022123101), we get a palindrome (412433242334214).

The spelling of 101321220211113 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred thirteen".