1011102011101 has 64 divisors (see below), whose sum is σ = 1292287997952. Its totient is φ = 769824000000.

The previous prime is 1011102011089. The next prime is 1011102011107.

1011102011101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1011102011101 - 2²⁵ = 1011068456669 is a prime.

It is a deceptive number, since it divides R_{1011102011100}.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011102011107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102116251 + ... + 102126151.

It is an arithmetic number, because the mean of its divisors is an integer number (20191999968).

Almost surely, 2^{1011102011101} is an apocalyptic number.

It is an amenable number.

1011102011101 is a deficient number, since it is larger than the sum of its proper divisors (281185986851).

1011102011101 is a wasteful number, since it uses less digits than its factorization.

1011102011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 1011102011101 in words is "one trillion, eleven billion, one hundred two million, eleven thousand, one hundred one".