100111010110101 has 160 divisors (see below), whose sum is σ = 160817793776640. Its totient is φ = 61842014908416.

The previous prime is 100111010110073. The next prime is 100111010110103. The reversal of 100111010110101 is 101011010111001.

It is not a de Polignac number, because 100111010110101 - 2¹³ = 100111010101909 is a prime.

It is a super-2 number, since 2×100111010110101² (a number of 29 digits) contains 22 as substring.

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 (100111010110103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25545037620 + ... + 25545041538.

It is an arithmetic number, because the mean of its divisors is an integer number (1005111211104).

Almost surely, 2^{100111010110101} is an apocalyptic number.

It is an amenable number.

100111010110101 is a deficient number, since it is larger than the sum of its proper divisors (60706783666539).

100111010110101 is a wasteful number, since it uses less digits than its factorization.

100111010110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5048 counting only the distinct ones).

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

Adding to 100111010110101 its reverse (101011010111001), we get a palindrome (201122020221102).

The spelling of 100111010110101 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred one".