100010011101110 has 64 divisors (see below), whose sum is σ = 200526569918784. Its totient is φ = 35607276288000.

The previous prime is 100010011101107. The next prime is 100010011101173. The reversal of 100010011101110 is 11101110010001.

100010011101110 is a modest number, since divided by 11101110 gives 100010 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44354441 + ... + 46554660.

It is an arithmetic number, because the mean of its divisors is an integer number (3133227654981).

Almost surely, 2^{100010011101110} is an apocalyptic number.

100010011101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010011101110 is an abundant number, since it is smaller than the sum of its proper divisors (100516558817674).

100010011101110 is a wasteful number, since it uses less digits than its factorization.

100010011101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90909329.

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

Adding to 100010011101110 its reverse (11101110010001), we get a palindrome (111111121111111).

The spelling of 100010011101110 in words is "one hundred trillion, ten billion, eleven million, one hundred one thousand, one hundred ten".