122330121110100 has 288 divisors, whose sum is σ = 398808235472640. Its totient is φ = 32162205358080.

The previous prime is 122330121110081. The next prime is 122330121110191. The reversal of 122330121110100 is 1011121033221.

122330121110100 is a `hidden beast` number, since 1 + 2 + 2 + 330 + 121 + 110 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521606464 + ... + 521840936.

Almost surely, 2^{122330121110100} is an apocalyptic number.

122330121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199404117736320).

122330121110100 is an abundant number, since it is smaller than the sum of its proper divisors (276478114362540).

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

122330121110100 is a wasteful number, since it uses less digits than its factorization.

122330121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237216 (or 237203 counting only the distinct ones).

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

Adding to 122330121110100 its reverse (1011121033221), we get a palindrome (123341242143321).

The spelling of 122330121110100 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred twenty-one million, one hundred ten thousand, one hundred".