100111101101110 has 24 divisors (see below), whose sum is σ = 198071054577648. Its totient is φ = 36404036763600.

The previous prime is 100111101101107. The next prime is 100111101101111. The reversal of 100111101101110 is 11101101111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101101111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41368222386 + ... + 41368224805.

It is an arithmetic number, because the mean of its divisors is an integer number (8252960607402).

Almost surely, 2^{100111101101110} is an apocalyptic number.

100111101101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111101101110 is a deficient number, since it is larger than the sum of its proper divisors (97959953476538).

100111101101110 is a wasteful number, since it uses less digits than its factorization.

100111101101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82736447220 (or 82736447209 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111101101110 its reverse (11101101111001), we get a palindrome (111212202212111).

The spelling of 100111101101110 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred ten".