1011122201011 has 16 divisors (see below), whose sum is σ = 1089746491680. Its totient is φ = 932619064320.

The previous prime is 1011122200999. The next prime is 1011122201039. The reversal of 1011122201011 is 1101022211101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1011122201011 - 2¹⁹ = 1011121676723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011122200982 and 1011122201000.

It is not an unprimeable number, because it can be changed into a prime (1011122201041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123892771 + ... + 123900931.

It is an arithmetic number, because the mean of its divisors is an integer number (68109155730).

Almost surely, 2^{1011122201011} is an apocalyptic number.

1011122201011 is a deficient number, since it is larger than the sum of its proper divisors (78624290669).

1011122201011 is a wasteful number, since it uses less digits than its factorization.

1011122201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011122201011 its reverse (1101022211101), we get a palindrome (2112144412112).

The spelling of 1011122201011 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred one thousand, eleven".