2001102000111 has 16 divisors (see below), whose sum is σ = 2975145729120. Its totient is φ = 1329320422080.

The previous prime is 2001101999957. The next prime is 2001102000167. The reversal of 2001102000111 is 1110002011002.

It is a happy number.

It is not a de Polignac number, because 2001102000111 - 2³⁹ = 1451346186223 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 = 2001102000093 and 2001102000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102000311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131869440 + ... + 131884613.

It is an arithmetic number, because the mean of its divisors is an integer number (185946608070).

Almost surely, 2^{2001102000111} is an apocalyptic number.

2001102000111 is a deficient number, since it is larger than the sum of its proper divisors (974043729009).

2001102000111 is a wasteful number, since it uses less digits than its factorization.

2001102000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263754343 (or 263754337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001102000111 its reverse (1110002011002), we get a palindrome (3111104011113).

The spelling of 2001102000111 in words is "two trillion, one billion, one hundred two million, one hundred eleven", and thus it is an aban number.