1011101011011 has 240 divisors, whose sum is σ = 1902043311168. Its totient is φ = 524040192000.

The previous prime is 1011101010979. The next prime is 1011101011031. The reversal of 1011101011011 is 1101101011101.

It is not a de Polignac number, because 1011101011011 - 2⁵ = 1011101010979 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 = 1011101010984 and 1011101011002.

It is not an unprimeable number, because it can be changed into a prime (1011101011031) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1682364111 + ... + 1682364711.

Almost surely, 2^{1011101011011} is an apocalyptic number.

1011101011011 is a deficient number, since it is larger than the sum of its proper divisors (890942300157).

1011101011011 is a wasteful number, since it uses less digits than its factorization.

1011101011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1011101011011 its reverse (1101101011101), we get a palindrome (2112202022112).

The spelling of 1011101011011 in words is "one trillion, eleven billion, one hundred one million, eleven thousand, eleven".