1011102012011 has 32 divisors (see below), whose sum is σ = 1336663104000. Its totient is φ = 757887852960.

The previous prime is 1011102012001. The next prime is 1011102012023. The reversal of 1011102012011 is 1102102011101.

1011102012011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011102012011 - 2²² = 1011097817707 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011102011983 and 1011102012001.

It is not an unprimeable number, because it can be changed into a prime (1011102012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5882525 + ... + 6051966.

It is an arithmetic number, because the mean of its divisors is an integer number (41770722000).

Almost surely, 2^{1011102012011} is an apocalyptic number.

1011102012011 is a deficient number, since it is larger than the sum of its proper divisors (325561091989).

1011102012011 is a wasteful number, since it uses less digits than its factorization.

1011102012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934544 (or 11934530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011102012011 its reverse (1102102011101), we get a palindrome (2113204023112).

The spelling of 1011102012011 in words is "one trillion, eleven billion, one hundred two million, twelve thousand, eleven".