100135100115135 has 24 divisors (see below), whose sum is σ = 174439705408800. Its totient is φ = 53137017945792.

The previous prime is 100135100115119. The next prime is 100135100115143. The reversal of 100135100115135 is 531511001531001.

100135100115135 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 510 + 0 + 1 + 15 + 135 = 666.

It is not a de Polignac number, because 100135100115135 - 2⁴ = 100135100115119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100135100115099 and 100135100115108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5591007244 + ... + 5591025153.

It is an arithmetic number, because the mean of its divisors is an integer number (7268321058700).

Almost surely, 2^{100135100115135} is an apocalyptic number.

100135100115135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100135100115135 is a deficient number, since it is larger than the sum of its proper divisors (74304605293665).

100135100115135 is a wasteful number, since it uses less digits than its factorization.

100135100115135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182032607 (or 11182032604 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

Adding to 100135100115135 its reverse (531511001531001), we get a palindrome (631646101646136).

The spelling of 100135100115135 in words is "one hundred trillion, one hundred thirty-five billion, one hundred million, one hundred fifteen thousand, one hundred thirty-five".