122123220330100 has 72 divisors (see below), whose sum is σ = 289198357308000. Its totient is φ = 44393176713600.

The previous prime is 122123220330061. The next prime is 122123220330103. The reversal of 122123220330100 is 1033022321221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123220330103) 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, 15882450 + ... + 22282249.

It is an arithmetic number, because the mean of its divisors is an integer number (4016643851500).

Almost surely, 2^{122123220330100} is an apocalyptic number.

122123220330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123220330100 is an abundant number, since it is smaller than the sum of its proper divisors (167075136977900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122123220330100 is a wasteful number, since it uses less digits than its factorization.

122123220330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38167633 (or 38167626 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122123220330100 its reverse (1033022321221), we get a palindrome (123156242651321).

The spelling of 122123220330100 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred twenty million, three hundred thirty thousand, one hundred".