101112012221 has 16 divisors (see below), whose sum is σ = 112360651200. Its totient is φ = 90211344000.

The previous prime is 101112012187. The next prime is 101112012227. The reversal of 101112012221 is 122210211101.

It is a cyclic number.

It is not a de Polignac number, because 101112012221 - 2¹⁰ = 101112011197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112012196 and 101112012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112012227) 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, 260435 + ... + 519663.

It is an arithmetic number, because the mean of its divisors is an integer number (7022540700).

Almost surely, 2^101112012221 is an apocalyptic number.

101112012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112012221 is a deficient number, since it is larger than the sum of its proper divisors (11248638979).

101112012221 is a wasteful number, since it uses less digits than its factorization.

101112012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259900.

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

Adding to 101112012221 its reverse (122210211101), we get a palindrome (223322223322).

The spelling of 101112012221 in words is "one hundred one billion, one hundred twelve million, twelve thousand, two hundred twenty-one".