120112101233100 has 432 divisors, whose sum is σ = 387816708517056. Its totient is φ = 31071126528000.

The previous prime is 120112101233099. The next prime is 120112101233167. The reversal of 120112101233100 is 1332101211021.

120112101233100 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 210 + 123 + 310 + 0 = 666.

It is a super-2 number, since 2×120112101233100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19032178945 + ... + 19032185255.

It is an arithmetic number, because the mean of its divisors is an integer number (897723862308).

Almost surely, 2^{120112101233100} is an apocalyptic number.

120112101233100 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 120112101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193908354258528).

120112101233100 is an abundant number, since it is smaller than the sum of its proper divisors (267704607283956).

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

120112101233100 is a wasteful number, since it uses less digits than its factorization.

120112101233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7976 counting only the distinct ones).

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

Adding to 120112101233100 its reverse (1332101211021), we get a palindrome (121444202444121).

The spelling of 120112101233100 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred one million, two hundred thirty-three thousand, one hundred".