1022221002001 has 24 divisors (see below), whose sum is σ = 1104971455224. Its totient is φ = 944729909760.

The previous prime is 1022221001999. The next prime is 1022221002007. The reversal of 1022221002001 is 1002001222201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 240899364225 + 781321637776 = 490815^2 + 883924^2 .

It is not a de Polignac number, because 1022221002001 - 2¹ = 1022221001999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022221002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547815 + ... + 2107171.

It is an arithmetic number, because the mean of its divisors is an integer number (46040477301).

Almost surely, 2^{1022221002001} is an apocalyptic number.

It is an amenable number.

1022221002001 is a deficient number, since it is larger than the sum of its proper divisors (82750453223).

1022221002001 is an equidigital number, since it uses as much as digits as its factorization.

1022221002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559509 (or 559480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022221002001 its reverse (1002001222201), we get a palindrome (2024222224202).

The spelling of 1022221002001 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two thousand, one".