100101101010111 has 24 divisors (see below), whose sum is σ = 146749635729840. Its totient is φ = 65737548366336.

The previous prime is 100101101010073. The next prime is 100101101010199. The reversal of 100101101010111 is 111010101101001.

It is not a de Polignac number, because 100101101010111 - 2²² = 100101096815807 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101101010093 and 100101101010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101010511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92255701 + ... + 93334433.

It is an arithmetic number, because the mean of its divisors is an integer number (6114568155410).

Almost surely, 2^{100101101010111} is an apocalyptic number.

100101101010111 is a deficient number, since it is larger than the sum of its proper divisors (46648534719729).

100101101010111 is a wasteful number, since it uses less digits than its factorization.

100101101010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232695 (or 1232692 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101101010111 its reverse (111010101101001), we get a palindrome (211111202111112).

The spelling of 100101101010111 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, one hundred eleven".