101100010010111 has 32 divisors (see below), whose sum is σ = 116294417141760. Its totient is φ = 86095908288000.

The previous prime is 101100010010107. The next prime is 101100010010161. The reversal of 101100010010111 is 111010010001101.

It is a cyclic number.

It is not a de Polignac number, because 101100010010111 - 2² = 101100010010107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010010161) 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, 709108850 + ... + 709251408.

It is an arithmetic number, because the mean of its divisors is an integer number (3634200535680).

Almost surely, 2^{101100010010111} is an apocalyptic number.

101100010010111 is a deficient number, since it is larger than the sum of its proper divisors (15194407131649).

101100010010111 is a wasteful number, since it uses less digits than its factorization.

101100010010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143975.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100010010111 its reverse (111010010001101), we get a palindrome (212110020011212).

The spelling of 101100010010111 in words is "one hundred one trillion, one hundred billion, ten million, ten thousand, one hundred eleven".