100120101133 has 8 divisors (see below), whose sum is σ = 113496471200. Its totient is φ = 87554420208.

The previous prime is 100120100989. The next prime is 100120101143. The reversal of 100120101133 is 331101021001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120101133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120101143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202672023 + ... + 202672516.

It is an arithmetic number, because the mean of its divisors is an integer number (14187058900).

Almost surely, 2^100120101133 is an apocalyptic number.

100120101133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100120101133 is a deficient number, since it is larger than the sum of its proper divisors (13376370067).

100120101133 is a wasteful number, since it uses less digits than its factorization.

100120101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405344571.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100120101133 its reverse (331101021001), we get a palindrome (431221122134).

The spelling of 100120101133 in words is "one hundred billion, one hundred twenty million, one hundred one thousand, one hundred thirty-three".