201001110000111 has 48 divisors (see below), whose sum is σ = 309387268322496. Its totient is φ = 125465798734848.

The previous prime is 201001110000109. The next prime is 201001110000179. The reversal of 201001110000111 is 111000011100102.

It is not a de Polignac number, because 201001110000111 - 2¹ = 201001110000109 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 = 201001110000093 and 201001110000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001110000191) 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, 16405596 + ... + 25906481.

It is an arithmetic number, because the mean of its divisors is an integer number (6445568090052).

Almost surely, 2^{201001110000111} is an apocalyptic number.

201001110000111 is a deficient number, since it is larger than the sum of its proper divisors (108386158322385).

201001110000111 is a wasteful number, since it uses less digits than its factorization.

201001110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42312592 (or 42312589 counting only the distinct ones).

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

Adding to 201001110000111 its reverse (111000011100102), we get a palindrome (312001121100213).

The spelling of 201001110000111 in words is "two hundred one trillion, one billion, one hundred ten million, one hundred eleven", and thus it is an aban number.