120010122122100 has 288 divisors, whose sum is σ = 402188644945920. Its totient is φ = 27061285455360.

The previous prime is 120010122122027. The next prime is 120010122122131. The reversal of 120010122122100 is 1221221010021.

It is a super-2 number, since 2×120010122122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120010122122100.

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, 200938519 + ... + 201534881.

Almost surely, 2^{120010122122100} is an apocalyptic number.

120010122122100 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 120010122122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201094322472960).

120010122122100 is an abundant number, since it is smaller than the sum of its proper divisors (282178522823820).

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

120010122122100 is a wasteful number, since it uses less digits than its factorization.

120010122122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597679 (or 597672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120010122122100 its reverse (1221221010021), we get a palindrome (121231343132121).

The spelling of 120010122122100 in words is "one hundred twenty trillion, ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".