10112101221 has 16 divisors (see below), whose sum is σ = 13916816000. Its totient is φ = 6526225728.

The previous prime is 10112101213. The next prime is 10112101229. The reversal of 10112101221 is 12210121101.

It is an interprime number because it is at equal distance from previous prime (10112101213) and next prime (10112101229).

It is not a de Polignac number, because 10112101221 - 2³ = 10112101213 is a prime.

It is a super-2 number, since 2×10112101221² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112101197 and 10112101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112101229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206806 + ... + 250983.

It is an arithmetic number, because the mean of its divisors is an integer number (869801000).

Almost surely, 2^10112101221 is an apocalyptic number.

It is an amenable number.

10112101221 is a deficient number, since it is larger than the sum of its proper divisors (3804714779).

10112101221 is a wasteful number, since it uses less digits than its factorization.

10112101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458028.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112101221 its reverse (12210121101), we get a palindrome (22322222322).

The spelling of 10112101221 in words is "ten billion, one hundred twelve million, one hundred one thousand, two hundred twenty-one".