112222121102101 has 16 divisors (see below), whose sum is σ = 112944287991600. Its totient is φ = 111500818587648.

The previous prime is 112222121102023. The next prime is 112222121102153. The reversal of 112222121102101 is 101201121222211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2072373301476 + 110149747800625 = 1439574^2 + 10495225^2 .

It is a cyclic number.

It is not a de Polignac number, because 112222121102101 - 2⁷ = 112222121101973 is a prime.

It is a super-2 number, since 2×112222121102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222101102101) 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, 2289802285 + ... + 2289851293.

It is an arithmetic number, because the mean of its divisors is an integer number (7059017999475).

Almost surely, 2^{112222121102101} is an apocalyptic number.

It is an amenable number.

112222121102101 is a deficient number, since it is larger than the sum of its proper divisors (722166889499).

112222121102101 is a wasteful number, since it uses less digits than its factorization.

112222121102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57528.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112222121102101 its reverse (101201121222211), we get a palindrome (213423242324312).

The spelling of 112222121102101 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, one hundred one".