100120110993 has 40 divisors (see below), whose sum is σ = 171309283200. Its totient is φ = 57083927040.

The previous prime is 100120110989. The next prime is 100120111001. The reversal of 100120110993 is 399011021001.

It is not a de Polignac number, because 100120110993 - 2² = 100120110989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100120110943) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 57948 + ... + 451218.

It is an arithmetic number, because the mean of its divisors is an integer number (4282732080).

Almost surely, 2^100120110993 is an apocalyptic number.

It is an amenable number.

100120110993 is a deficient number, since it is larger than the sum of its proper divisors (71189172207).

100120110993 is an equidigital number, since it uses as much as digits as its factorization.

100120110993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393739 (or 393730 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

Adding to 100120110993 its reverse (399011021001), we get a palindrome (499131131994).

The spelling of 100120110993 in words is "one hundred billion, one hundred twenty million, one hundred ten thousand, nine hundred ninety-three".