101011100010111 has 48 divisors (see below), whose sum is σ = 155020905000000. Its totient is φ = 63259165154304.

The previous prime is 101011100010077. The next prime is 101011100010113. The reversal of 101011100010111 is 111010001110101.

It is not a de Polignac number, because 101011100010111 - 2⁶ = 101011100010047 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 = 101011100010093 and 101011100010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011100010113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301604230 + ... + 301938956.

It is an arithmetic number, because the mean of its divisors is an integer number (3229602187500).

Almost surely, 2^{101011100010111} is an apocalyptic number.

101011100010111 is a deficient number, since it is larger than the sum of its proper divisors (54009804989889).

101011100010111 is a wasteful number, since it uses less digits than its factorization.

101011100010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366048 (or 366045 counting only the distinct ones).

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

Adding to 101011100010111 its reverse (111010001110101), we get a palindrome (212021101120212).

The spelling of 101011100010111 in words is "one hundred one trillion, eleven billion, one hundred million, ten thousand, one hundred eleven".