100120121112100 has 72 divisors (see below), whose sum is σ = 217741341787200. Its totient is φ = 39959451561600.

The previous prime is 100120121112041. The next prime is 100120121112101. The reversal of 100120121112100 is 1211121021001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100120121112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930595971 + ... + 1930647829.

It is an arithmetic number, because the mean of its divisors is an integer number (3024185302600).

Almost surely, 2^{100120121112100} is an apocalyptic number.

100120121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120121112100 is an abundant number, since it is smaller than the sum of its proper divisors (117621220675100).

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

100120121112100 is a wasteful number, since it uses less digits than its factorization.

100120121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94213 (or 94206 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120121112100 its reverse (1211121021001), we get a palindrome (101331242133101).

The spelling of 100120121112100 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".