100120110133320 has 64 divisors (see below), whose sum is σ = 333733700448000. Its totient is φ = 26698696035264.

The previous prime is 100120110133313. The next prime is 100120110133349. The reversal of 100120110133320 is 23331011021001.

100120110133320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 201 + 10 + 133 + 320 = 666.

It is a super-2 number, since 2×100120110133320² (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 a junction number, because it is equal to n+sod(n) for n = 100120110133293 and 100120110133302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46351901760 + ... + 46351903919.

It is an arithmetic number, because the mean of its divisors is an integer number (5214589069500).

Almost surely, 2^{100120110133320} is an apocalyptic number.

100120110133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120110133320 is an abundant number, since it is smaller than the sum of its proper divisors (233613590314680).

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

100120110133320 is a wasteful number, since it uses less digits than its factorization.

100120110133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92703805699 (or 92703805689 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100120110133320 its reverse (23331011021001), we get a palindrome (123451121154321).

The spelling of 100120110133320 in words is "one hundred trillion, one hundred twenty billion, one hundred ten million, one hundred thirty-three thousand, three hundred twenty".