120122102200100 has 288 divisors, whose sum is σ = 355915669939200. Its totient is φ = 33974830195200.

The previous prime is 120122102200099. The next prime is 120122102200103. The reversal of 120122102200100 is 1002201221021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (120122102200103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4263770 + ... + 16075569.

It is an arithmetic number, because the mean of its divisors is an integer number (1235818298400).

Almost surely, 2^{120122102200100} is an apocalyptic number.

120122102200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122102200100 is an abundant number, since it is smaller than the sum of its proper divisors (235793567739100).

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

120122102200100 is a wasteful number, since it uses less digits than its factorization.

120122102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339443 (or 20339436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120122102200100 its reverse (1002201221021), we get a palindrome (121124303421121).

The spelling of 120122102200100 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred two million, two hundred thousand, one hundred".