100011111010110 has 96 divisors (see below), whose sum is σ = 261017453268000. Its totient is φ = 26568414885888.

The previous prime is 100011111010099. The next prime is 100011111010127. The reversal of 100011111010110 is 11010111110001.

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 = 100011111010092 and 100011111010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25364326 + ... + 29040854.

It is an arithmetic number, because the mean of its divisors is an integer number (2718931804875).

Almost surely, 2^{100011111010110} is an apocalyptic number.

100011111010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011111010110 is an abundant number, since it is smaller than the sum of its proper divisors (161006342257890).

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

100011111010110 is a wasteful number, since it uses less digits than its factorization.

100011111010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677690 (or 3677687 counting only the distinct ones).

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

Adding to 100011111010110 its reverse (11010111110001), we get a palindrome (111021222120111).

The spelling of 100011111010110 in words is "one hundred trillion, eleven billion, one hundred eleven million, ten thousand, one hundred ten".