1021122211001 has 8 divisors (see below), whose sum is σ = 1031259414024. Its totient is φ = 1010985539200.

The previous prime is 1021122210973. The next prime is 1021122211013. The reversal of 1021122211001 is 1001122211201.

It can be written as a sum of positive squares in 4 ways, for example, as 292625820601 + 728496390400 = 540949^2 + 853520^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1021122211001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021122211061) 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, 4543655 + ... + 4763091.

It is an arithmetic number, because the mean of its divisors is an integer number (128907426753).

Almost surely, 2^{1021122211001} is an apocalyptic number.

It is an amenable number.

1021122211001 is a deficient number, since it is larger than the sum of its proper divisors (10137203023).

1021122211001 is a wasteful number, since it uses less digits than its factorization.

1021122211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265611.

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

Adding to 1021122211001 its reverse (1001122211201), we get a palindrome (2022244422202).

The spelling of 1021122211001 in words is "one trillion, twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, one".