1221122001001 has 16 divisors (see below), whose sum is σ = 1413418406400. Its totient is φ = 1033291666368.

The previous prime is 1221122000983. The next prime is 1221122001017. The reversal of 1221122001001 is 1001002211221.

It is a cyclic number.

It is not a de Polignac number, because 1221122001001 - 2⁹ = 1221122000489 is a prime.

It is a super-2 number, since 2×1221122001001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221122001041) 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, 4202115 + ... + 4483303.

It is an arithmetic number, because the mean of its divisors is an integer number (88338650400).

Almost surely, 2^{1221122001001} is an apocalyptic number.

It is an amenable number.

1221122001001 is a deficient number, since it is larger than the sum of its proper divisors (192296405399).

1221122001001 is an equidigital number, since it uses as much as digits as its factorization.

1221122001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289128.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221122001001 its reverse (1001002211221), we get a palindrome (2222124212222).

The spelling of 1221122001001 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, one thousand, one".