101112010022221 has 16 divisors (see below), whose sum is σ = 115237375747200. Its totient is φ = 87871637224000.

The previous prime is 101112010022113. The next prime is 101112010022237. The reversal of 101112010022221 is 122220010211101.

It is not a de Polignac number, because 101112010022221 - 2⁹ = 101112010021709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112010022195 and 101112010022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112010023221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569104161 + ... + 1569168598.

It is an arithmetic number, because the mean of its divisors is an integer number (7202335984200).

Almost surely, 2^{101112010022221} is an apocalyptic number.

101112010022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112010022221 is a deficient number, since it is larger than the sum of its proper divisors (14125365724979).

101112010022221 is a wasteful number, since it uses less digits than its factorization.

101112010022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138272900.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112010022221 its reverse (122220010211101), we get a palindrome (223332020233322).

The spelling of 101112010022221 in words is "one hundred one trillion, one hundred twelve billion, ten million, twenty-two thousand, two hundred twenty-one".