112121022211101 has 16 divisors (see below), whose sum is σ = 168584400452800. Its totient is φ = 73631716077744.

The previous prime is 112121022211057. The next prime is 112121022211129. The reversal of 112121022211101 is 101112220121211.

It is a happy number.

112121022211101 is a `hidden beast` number, since 1 + 121 + 210 + 2 + 221 + 110 + 1 = 666.

It is not a de Polignac number, because 112121022211101 - 2⁴³ = 103324929188893 is a prime.

It is a super-4 number, since 4×112121022211101⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121092211101) 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, 30989777686 + ... + 30989781303.

It is an arithmetic number, because the mean of its divisors is an integer number (10536525028300).

Almost surely, 2^{112121022211101} is an apocalyptic number.

It is an amenable number.

112121022211101 is a deficient number, since it is larger than the sum of its proper divisors (56463378241699).

112121022211101 is an equidigital number, since it uses as much as digits as its factorization.

112121022211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61979559065 (or 61979559059 counting only the distinct ones).

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

Adding to 112121022211101 its reverse (101112220121211), we get a palindrome (213233242332312).

The spelling of 112121022211101 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred one".