101010100110111 has 16 divisors (see below), whose sum is σ = 149667682753120. Its totient is φ = 67329676241280.

The previous prime is 101010100110109. The next prime is 101010100110137. The reversal of 101010100110111 is 111011001010101.

It is not a de Polignac number, because 101010100110111 - 2¹ = 101010100110109 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010100110093 and 101010100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010100110181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288446740 + ... + 288796713.

It is an arithmetic number, because the mean of its divisors is an integer number (9354230172070).

Almost surely, 2^{101010100110111} is an apocalyptic number.

101010100110111 is a deficient number, since it is larger than the sum of its proper divisors (48657582643009).

101010100110111 is an equidigital number, since it uses as much as digits as its factorization.

101010100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577249943 (or 577249937 counting only the distinct ones).

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

Adding to 101010100110111 its reverse (111011001010101), we get a palindrome (212021101120212).

The spelling of 101010100110111 in words is "one hundred one trillion, ten billion, one hundred million, one hundred ten thousand, one hundred eleven".