100133230113101 has 8 divisors (see below), whose sum is σ = 106028877436920. Its totient is φ = 94238189157888.

The previous prime is 100133230113089. The next prime is 100133230113131. The reversal of 100133230113101 is 101311032331001.

It can be written as a sum of positive squares in 4 ways, for example, as 1382801957476 + 98750428155625 = 1175926^2 + 9937325^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100133230113101 - 2¹⁴ = 100133230096717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133230113131) 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, 151252136 + ... + 151912721.

It is an arithmetic number, because the mean of its divisors is an integer number (13253609679615).

Almost surely, 2^{100133230113101} is an apocalyptic number.

It is an amenable number.

100133230113101 is a deficient number, since it is larger than the sum of its proper divisors (5895647323819).

100133230113101 is a wasteful number, since it uses less digits than its factorization.

100133230113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303184303.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100133230113101 its reverse (101311032331001), we get a palindrome (201444262444102).

The spelling of 100133230113101 in words is "one hundred trillion, one hundred thirty-three billion, two hundred thirty million, one hundred thirteen thousand, one hundred one".