1011122220101 has 12 divisors (see below), whose sum is σ = 1245391835148. Its totient is φ = 815695235712.

The previous prime is 1011122220011. The next prime is 1011122220149. The reversal of 1011122220101 is 1010222211101.

It can be written as a sum of positive squares in 2 ways, for example, as 916903917601 + 94218302500 = 957551^2 + 306950^2 .

It is not a de Polignac number, because 1011122220101 - 2¹⁰ = 1011122219077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122220701) 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, 606915266 + ... + 606916931.

It is an arithmetic number, because the mean of its divisors is an integer number (103782652929).

Almost surely, 2^{1011122220101} is an apocalyptic number.

It is an amenable number.

1011122220101 is a deficient number, since it is larger than the sum of its proper divisors (234269615047).

1011122220101 is a wasteful number, since it uses less digits than its factorization.

1011122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213832228 (or 1213832221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1011122220101 its reverse (1010222211101), we get a palindrome (2021344431202).

The spelling of 1011122220101 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".