100111110010110 has 96 divisors (see below), whose sum is σ = 264489953457600. Its totient is φ = 26268719053824.

The previous prime is 100111110010099. The next prime is 100111110010129. The reversal of 100111110010110 is 11010011111001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111110010092 and 100111110010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32937835 + ... + 35848614.

It is an arithmetic number, because the mean of its divisors is an integer number (2755103681850).

Almost surely, 2^{100111110010110} is an apocalyptic number.

100111110010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111110010110 is an abundant number, since it is smaller than the sum of its proper divisors (164378843447490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111110010110 is a wasteful number, since it uses less digits than its factorization.

100111110010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68786722 (or 68786719 counting only the distinct ones).

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

Adding to 100111110010110 its reverse (11010011111001), we get a palindrome (111121121121111).

The spelling of 100111110010110 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, ten thousand, one hundred ten".