100120100222100 has 144 divisors (see below), whose sum is σ = 331083834278400. Its totient is φ = 22883209345920.

The previous prime is 100120100222069. The next prime is 100120100222113. The reversal of 100120100222100 is 1222001021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33465511 + ... + 36334289.

It is an arithmetic number, because the mean of its divisors is an integer number (2299193293600).

Almost surely, 2^{100120100222100} is an apocalyptic number.

100120100222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120100222100 is an abundant number, since it is smaller than the sum of its proper divisors (230963734056300).

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

100120100222100 is a wasteful number, since it uses less digits than its factorization.

100120100222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885422 (or 2885415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120100222100 its reverse (1222001021001), we get a palindrome (101342101243101).

The spelling of 100120100222100 in words is "one hundred trillion, one hundred twenty billion, one hundred million, two hundred twenty-two thousand, one hundred".