100110110011101 has 64 divisors (see below), whose sum is σ = 167392903680000. Its totient is φ = 58754908382976.

The previous prime is 100110110011097. The next prime is 100110110011127. The reversal of 100110110011101 is 101110011011001.

It is not a de Polignac number, because 100110110011101 - 2² = 100110110011097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110110018101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71964211 + ... + 73342128.

It is an arithmetic number, because the mean of its divisors is an integer number (2615514120000).

Almost surely, 2^{100110110011101} is an apocalyptic number.

It is an amenable number.

100110110011101 is a deficient number, since it is larger than the sum of its proper divisors (67282793668899).

100110110011101 is a wasteful number, since it uses less digits than its factorization.

100110110011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145306463 (or 145306457 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110110011101 its reverse (101110011011001), we get a palindrome (201220121022102).

The spelling of 100110110011101 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, eleven thousand, one hundred one".