100120220121312 has 72 divisors (see below), whose sum is σ = 286530359385816. Its totient is φ = 33160837222656.

The previous prime is 100120220121293. The next prime is 100120220121359. The reversal of 100120220121312 is 213121022021001.

100120220121312 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 0 + 220 + 121 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1107087438 + ... + 1107177869.

It is an arithmetic number, because the mean of its divisors is an integer number (3979588324803).

Almost surely, 2^{100120220121312} is an apocalyptic number.

100120220121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120220121312 is an abundant number, since it is smaller than the sum of its proper divisors (186410139264504).

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

100120220121312 is a wasteful number, since it uses less digits than its factorization.

100120220121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214265480 (or 2214265469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100120220121312 its reverse (213121022021001), we get a palindrome (313241242142313).

The spelling of 100120220121312 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-one thousand, three hundred twelve".