20101110000111 has 24 divisors (see below), whose sum is σ = 33183047299584. Its totient is φ = 11486257693200.

The previous prime is 20101110000067. The next prime is 20101110000113. The reversal of 20101110000111 is 11100001110102.

It is not a de Polignac number, because 20101110000111 - 2⁹ = 20101109999599 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 = 20101110000093 and 20101110000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101110000113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7211686 + ... + 9602636.

It is an arithmetic number, because the mean of its divisors is an integer number (1382626970816).

Almost surely, 2^{20101110000111} is an apocalyptic number.

20101110000111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20101110000111 is a deficient number, since it is larger than the sum of its proper divisors (13081937299473).

20101110000111 is a wasteful number, since it uses less digits than its factorization.

20101110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524411 (or 2524408 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20101110000111 its reverse (11100001110102), we get a palindrome (31201111110213).

The spelling of 20101110000111 in words is "twenty trillion, one hundred one billion, one hundred ten million, one hundred eleven", and thus it is an aban number.