101000010111 has 128 divisors (see below), whose sum is σ = 186272249856. Its totient is φ = 46976993280.

The previous prime is 101000010047. The next prime is 101000010187. The reversal of 101000010111 is 111010000101.

It is not a de Polignac number, because 101000010111 - 2⁶ = 101000010047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41443185 + ... + 41445621.

It is an arithmetic number, because the mean of its divisors is an integer number (1455251952).

Almost surely, 2^101000010111 is an apocalyptic number.

101000010111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101000010111 is a deficient number, since it is larger than the sum of its proper divisors (85272239745).

101000010111 is a wasteful number, since it uses less digits than its factorization.

101000010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000010111 its reverse (111010000101), we get a palindrome (212010010212).

It can be divided in two parts, 1010000101 and 11, that multiplied together give a palindrome (11110001111).

The spelling of 101000010111 in words is "one hundred one billion, ten thousand, one hundred eleven".