122332310100 has 576 divisors, whose sum is σ = 528046202880. Its totient is φ = 23463820800.

The previous prime is 122332310071. The next prime is 122332310147. The reversal of 122332310100 is 1013233221.

122332310100 is a `hidden beast` number, since 1 + 22 + 332 + 310 + 1 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 2680069 + ... + 2725331.

It is an arithmetic number, because the mean of its divisors is an integer number (916746880).

Almost surely, 2^122332310100 is an apocalyptic number.

122332310100 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 122332310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264023101440).

122332310100 is an abundant number, since it is smaller than the sum of its proper divisors (405713892780).

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

122332310100 is a wasteful number, since it uses less digits than its factorization.

122332310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45317 (or 45304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122332310100 its reverse (1013233221), we get a palindrome (123345543321).

It can be divided in two parts, 1223 and 32310100, that added together give a palindrome (32311323).

The spelling of 122332310100 in words is "one hundred twenty-two billion, three hundred thirty-two million, three hundred ten thousand, one hundred".