101112010111221 has 12 divisors (see below), whose sum is σ = 138558167258112. Its totient is φ = 65586168718128.

The previous prime is 101112010111183. The next prime is 101112010111247. The reversal of 101112010111221 is 122111010211101.

It is not a de Polignac number, because 101112010111221 - 2²⁷ = 101111875893493 is a prime.

It is a super-2 number, since 2×101112010111221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101112010111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112010111261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12309712245 + ... + 12309720458.

It is an arithmetic number, because the mean of its divisors is an integer number (11546513938176).

Almost surely, 2^{101112010111221} is an apocalyptic number.

It is an amenable number.

101112010111221 is a deficient number, since it is larger than the sum of its proper divisors (37446157146891).

101112010111221 is an equidigital number, since it uses as much as digits as its factorization.

101112010111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24619432780 (or 24619432743 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101112010111221 its reverse (122111010211101), we get a palindrome (223223020322322).

The spelling of 101112010111221 in words is "one hundred one trillion, one hundred twelve billion, ten million, one hundred eleven thousand, two hundred twenty-one".