101112102221 has 16 divisors (see below), whose sum is σ = 109642391040. Its totient is φ = 92689660800.

The previous prime is 101112102173. The next prime is 101112102239. The reversal of 101112102221 is 122201211101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112102221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112102196 and 101112102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112102241) 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, 11269025 + ... + 11277993.

It is an arithmetic number, because the mean of its divisors is an integer number (6852649440).

Almost surely, 2^101112102221 is an apocalyptic number.

It is an amenable number.

101112102221 is a deficient number, since it is larger than the sum of its proper divisors (8530288819).

101112102221 is a wasteful number, since it uses less digits than its factorization.

101112102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112102221 its reverse (122201211101), we get a palindrome (223313313322).

The spelling of 101112102221 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, two hundred twenty-one".