120101122100 has 144 divisors (see below), whose sum is σ = 268010096256. Its totient is φ = 46702656000.

The previous prime is 120101122049. The next prime is 120101122103. The reversal of 120101122100 is 1221101021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101122103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181695770 + ... + 181696430.

It is an arithmetic number, because the mean of its divisors is an integer number (1861181224).

Almost surely, 2^120101122100 is an apocalyptic number.

120101122100 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 120101122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134005048128).

120101122100 is an abundant number, since it is smaller than the sum of its proper divisors (147908974156).

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

120101122100 is a wasteful number, since it uses less digits than its factorization.

120101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120101122100 its reverse (1221101021), we get a palindrome (121322223121).

The spelling of 120101122100 in words is "one hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred".