122112100031301 has 24 divisors (see below), whose sum is σ = 181155320785920. Its totient is φ = 79206083391456.

The previous prime is 122112100031281. The next prime is 122112100031303. The reversal of 122112100031301 is 103130001211221.

122112100031301 is a `hidden beast` number, since 1 + 221 + 12 + 100 + 0 + 31 + 301 = 666.

It is not a de Polignac number, because 122112100031301 - 2²⁷ = 122111965813573 is a prime.

It is a super-2 number, since 2×122112100031301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112100031303) 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, 10960896 + ... + 19088358.

It is an arithmetic number, because the mean of its divisors is an integer number (7548138366080).

Almost surely, 2^{122112100031301} is an apocalyptic number.

It is an amenable number.

122112100031301 is a deficient number, since it is larger than the sum of its proper divisors (59043220754619).

122112100031301 is a wasteful number, since it uses less digits than its factorization.

122112100031301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172625 (or 8172622 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122112100031301 its reverse (103130001211221), we get a palindrome (225242101242522).

The spelling of 122112100031301 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred million, thirty-one thousand, three hundred one".