1011122011001 has 4 divisors (see below), whose sum is σ = 1070599776372. Its totient is φ = 951644245632.

The previous prime is 1011122010979. The next prime is 1011122011007. The reversal of 1011122011001 is 1001102211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 949018878976 + 62103132025 = 974176^2 + 249205^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011122011001 - 2²² = 1011117816697 is a prime.

It is a super-2 number, since 2×1011122011001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011122011007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29738882660 + ... + 29738882693.

It is an arithmetic number, because the mean of its divisors is an integer number (267649944093).

Almost surely, 2^{1011122011001} is an apocalyptic number.

It is an amenable number.

1011122011001 is a deficient number, since it is larger than the sum of its proper divisors (59477765371).

1011122011001 is an equidigital number, since it uses as much as digits as its factorization.

1011122011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59477765370.

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

Adding to 1011122011001 its reverse (1001102211101), we get a palindrome (2012224222102).

The spelling of 1011122011001 in words is "one trillion, eleven billion, one hundred twenty-two million, eleven thousand, one".