1011111122101 has 8 divisors (see below), whose sum is σ = 1015036637400. Its totient is φ = 1007187928320.

The previous prime is 1011111122089. The next prime is 1011111122107. The reversal of 1011111122101 is 1012211111101.

It can be written as a sum of positive squares in 4 ways, for example, as 121277366001 + 889833756100 = 348249^2 + 943310^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011111122101 - 2¹⁵ = 1011111089333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111122107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294945 + ... + 1452313.

It is an arithmetic number, because the mean of its divisors is an integer number (126879579675).

Almost surely, 2^{1011111122101} is an apocalyptic number.

It is an amenable number.

1011111122101 is a deficient number, since it is larger than the sum of its proper divisors (3925515299).

1011111122101 is a wasteful number, since it uses less digits than its factorization.

1011111122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160759.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011111122101 its reverse (1012211111101), we get a palindrome (2023322233202).

The spelling of 1011111122101 in words is "one trillion, eleven billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".