100110010111111 has 96 divisors (see below), whose sum is σ = 144974673462528. Its totient is φ = 67718556380160.

The previous prime is 100110010111093. The next prime is 100110010111183. The reversal of 100110010111111 is 111111010011001.

It is a happy number.

It is not a de Polignac number, because 100110010111111 - 2⁷ = 100110010110983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010111211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152502156 + ... + 153157198.

It is an arithmetic number, because the mean of its divisors is an integer number (1510152848568).

Almost surely, 2^{100110010111111} is an apocalyptic number.

100110010111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100110010111111 is a deficient number, since it is larger than the sum of its proper divisors (44864663351417).

100110010111111 is a wasteful number, since it uses less digits than its factorization.

100110010111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656381 (or 656374 counting only the distinct ones).

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

Adding to 100110010111111 its reverse (111111010011001), we get a palindrome (211221020122112).

The spelling of 100110010111111 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred eleven thousand, one hundred eleven".