1011011109201 has 12 divisors (see below), whose sum is σ = 1499818282612. Its totient is φ = 655790989536.

The previous prime is 1011011109187. The next prime is 1011011109233. The reversal of 1011011109201 is 1029011101101.

1011011109201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 930161873601 + 80849235600 = 964449^2 + 284340^2 .

It is not a de Polignac number, because 1011011109201 - 2⁵ = 1011011109169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011011109701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1518034366 + ... + 1518035031.

Almost surely, 2^{1011011109201} is an apocalyptic number.

It is an amenable number.

1011011109201 is a deficient number, since it is larger than the sum of its proper divisors (488807173411).

1011011109201 is a wasteful number, since it uses less digits than its factorization.

1011011109201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036069440 (or 3036069437 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 1011011109201 in words is "one trillion, eleven billion, eleven million, one hundred nine thousand, two hundred one".