101010102000111 has 64 divisors (see below), whose sum is σ = 150749971223040. Its totient is φ = 66844888830720.

The previous prime is 101010102000047. The next prime is 101010102000161. The reversal of 101010102000111 is 111000201010101.

It is not a de Polignac number, because 101010102000111 - 2⁶ = 101010102000047 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 = 101010102000093 and 101010102000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010102000161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2616077196 + ... + 2616115806.

It is an arithmetic number, because the mean of its divisors is an integer number (2355468300360).

Almost surely, 2^{101010102000111} is an apocalyptic number.

101010102000111 is a deficient number, since it is larger than the sum of its proper divisors (49739869222929).

101010102000111 is a wasteful number, since it uses less digits than its factorization.

101010102000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40213 (or 40207 counting only the distinct ones).

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

Adding to 101010102000111 its reverse (111000201010101), we get a palindrome (212010303010212).

The spelling of 101010102000111 in words is "one hundred one trillion, ten billion, one hundred two million, one hundred eleven", and thus it is an aban number.