112122011122101 has 24 divisors (see below), whose sum is σ = 170668717779456. Its totient is φ = 70790192114400.

The previous prime is 112122011122091. The next prime is 112122011122103. The reversal of 112122011122101 is 101221110221211.

It is a happy number.

112122011122101 is a `hidden beast` number, since 1 + 121 + 220 + 1 + 112 + 210 + 1 = 666.

It is not a de Polignac number, because 112122011122101 - 2¹³ = 112122011113909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122011122103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2681425765 + ... + 2681467578.

It is an arithmetic number, because the mean of its divisors is an integer number (7111196574144).

Almost surely, 2^{112122011122101} is an apocalyptic number.

It is an amenable number.

112122011122101 is a deficient number, since it is larger than the sum of its proper divisors (58546706657355).

112122011122101 is a wasteful number, since it uses less digits than its factorization.

112122011122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362893473 (or 5362893470 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112122011122101 its reverse (101221110221211), we get a palindrome (213343121343312).

The spelling of 112122011122101 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred one".