2011020000111 has 48 divisors (see below), whose sum is σ = 2985355616256. Its totient is φ = 1303970323968.

The previous prime is 2011020000079. The next prime is 2011020000113. The reversal of 2011020000111 is 1110000201102.

It is a happy number.

It is not a de Polignac number, because 2011020000111 - 2⁵ = 2011020000079 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 = 2011020000093 and 2011020000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011020000113) 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, 47879826 + ... + 47921808.

It is an arithmetic number, because the mean of its divisors is an integer number (62194908672).

Almost surely, 2^{2011020000111} is an apocalyptic number.

2011020000111 is a deficient number, since it is larger than the sum of its proper divisors (974335616145).

2011020000111 is a wasteful number, since it uses less digits than its factorization.

2011020000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42912 (or 42909 counting only the distinct ones).

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

Adding to 2011020000111 its reverse (1110000201102), we get a palindrome (3121020201213).

The spelling of 2011020000111 in words is "two trillion, eleven billion, twenty million, one hundred eleven", and thus it is an aban number.