1012111011 has 16 divisors (see below), whose sum is σ = 1500134400. Its totient is φ = 674420904.

The previous prime is 1012110989. The next prime is 1012111039. The reversal of 1012111011 is 1101112101.

It is not a de Polignac number, because 1012111011 - 2⁹ = 1012110499 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 = 1012110984 and 1012111002.

It is not an unprimeable number, because it can be changed into a prime (1012111091) 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, 58410 + ... + 73728.

It is an arithmetic number, because the mean of its divisors is an integer number (93758400).

Almost surely, 2^1012111011 is an apocalyptic number.

1012111011 is a deficient number, since it is larger than the sum of its proper divisors (488023389).

1012111011 is a wasteful number, since it uses less digits than its factorization.

1012111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17775 (or 17769 counting only the distinct ones).

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

The square root of 1012111011 is about 31813.6921937709. The cubic root of 1012111011 is about 1004.0208150449.

Adding to 1012111011 its reverse (1101112101), we get a palindrome (2113223112).

It can be divided in two parts, 101 and 2111011, that added together give a palindrome (2111112).

The spelling of 1012111011 in words is "one billion, twelve million, one hundred eleven thousand, eleven".