100101111011111 has 32 divisors (see below), whose sum is σ = 119486139171840. Its totient is φ = 82044740365056.

The previous prime is 100101111011101. The next prime is 100101111011113. The reversal of 100101111011111 is 111110111101001.

It is a de Polignac number, because none of the positive numbers 2^k-100101111011111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101111011092 and 100101111011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111011113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75956651 + ... + 77263283.

It is an arithmetic number, because the mean of its divisors is an integer number (3733941849120).

Almost surely, 2^{100101111011111} is an apocalyptic number.

100101111011111 is a deficient number, since it is larger than the sum of its proper divisors (19385028160729).

100101111011111 is a wasteful number, since it uses less digits than its factorization.

100101111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310303.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100101111011111 its reverse (111110111101001), we get a palindrome (211211222112112).

The spelling of 100101111011111 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred eleven".