100111110111111 has 64 divisors (see below), whose sum is σ = 148257524459520. Its totient is φ = 59583459600000.

The previous prime is 100111110111101. The next prime is 100111110111121. The reversal of 100111110111111 is 111111011111001.

It is an interprime number because it is at equal distance from previous prime (100111110111101) and next prime (100111110111121).

It is not a de Polignac number, because 100111110111111 - 2⁵ = 100111110111079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110111101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486811836 + ... + 487017438.

It is an arithmetic number, because the mean of its divisors is an integer number (2316523819680).

Almost surely, 2^{100111110111111} is an apocalyptic number.

100111110111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111110111111 is a deficient number, since it is larger than the sum of its proper divisors (48146414348409).

100111110111111 is a wasteful number, since it uses less digits than its factorization.

100111110111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206908.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 100111110111111 its reverse (111111011111001), we get a palindrome (211222121222112).

The spelling of 100111110111111 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred eleven".