100011100110110 has 192 divisors, whose sum is σ = 226182965016960. Its totient is φ = 31625717760000.

The previous prime is 100011100110109. The next prime is 100011100110179. The reversal of 100011100110110 is 11011001110001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370275110 + ... + 370545110.

It is an arithmetic number, because the mean of its divisors is an integer number (1178036276130).

Almost surely, 2^{100011100110110} is an apocalyptic number.

100011100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011100110110 is an abundant number, since it is smaller than the sum of its proper divisors (126171864906850).

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

100011100110110 is a wasteful number, since it uses less digits than its factorization.

100011100110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270931 (or 270924 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100011100110110 its reverse (11011001110001), we get a palindrome (111022101220111).

The spelling of 100011100110110 in words is "one hundred trillion, eleven billion, one hundred million, one hundred ten thousand, one hundred ten".