101111000010111 has 96 divisors (see below), whose sum is σ = 186685361815680. Its totient is φ = 51308779180032.

The previous prime is 101111000010071. The next prime is 101111000010121. The reversal of 101111000010111 is 111010000111101.

It is not a de Polignac number, because 101111000010111 - 2²⁹ = 101110463139199 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 = 101111000010093 and 101111000010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000010121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16048350 + ... + 21442283.

It is an arithmetic number, because the mean of its divisors is an integer number (1944639185580).

Almost surely, 2^{101111000010111} is an apocalyptic number.

101111000010111 is a deficient number, since it is larger than the sum of its proper divisors (85574361805569).

101111000010111 is a wasteful number, since it uses less digits than its factorization.

101111000010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37490785 (or 37490782 counting only the distinct ones).

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

Adding to 101111000010111 its reverse (111010000111101), we get a palindrome (212121000121212).

The spelling of 101111000010111 in words is "one hundred one trillion, one hundred eleven billion, ten thousand, one hundred eleven".