122220431323101 has 24 divisors (see below), whose sum is σ = 186954957876024. Its totient is φ = 76675189017600.

The previous prime is 122220431323093. The next prime is 122220431323163. The reversal of 122220431323101 is 101323134022221.

122220431323101 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 204 + 31 + 323 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22062889323225 + 100157541999876 = 4697115^2 + 10007874^2 .

It is not a de Polignac number, because 122220431323101 - 2³ = 122220431323093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220431123101) 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, 62261800 + ... + 64194801.

It is an arithmetic number, because the mean of its divisors is an integer number (7789789911501).

Almost surely, 2^{122220431323101} is an apocalyptic number.

It is an amenable number.

122220431323101 is a deficient number, since it is larger than the sum of its proper divisors (64734526552923).

122220431323101 is a wasteful number, since it uses less digits than its factorization.

122220431323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126462941 (or 126462938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122220431323101 its reverse (101323134022221), we get a palindrome (223543565345322).

The spelling of 122220431323101 in words is "one hundred twenty-two trillion, two hundred twenty billion, four hundred thirty-one million, three hundred twenty-three thousand, one hundred one".