1022304310401 has 16 divisors (see below), whose sum is σ = 1501424870400. Its totient is φ = 613563043920.

The previous prime is 1022304310397. The next prime is 1022304310451. The reversal of 1022304310401 is 1040134032201.

It is not a de Polignac number, because 1022304310401 - 2² = 1022304310397 is a prime.

It is a super-2 number, since 2×1022304310401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022304310451) 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 15 ways as a sum of consecutive naturals, for example, 150379701 + ... + 150386498.

It is an arithmetic number, because the mean of its divisors is an integer number (93839054400).

Almost surely, 2^{1022304310401} is an apocalyptic number.

1022304310401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022304310401 is a deficient number, since it is larger than the sum of its proper divisors (479120559999).

1022304310401 is a wasteful number, since it uses less digits than its factorization.

1022304310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300766316.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1022304310401 its reverse (1040134032201), we get a palindrome (2062438342602).

The spelling of 1022304310401 in words is "one trillion, twenty-two billion, three hundred four million, three hundred ten thousand, four hundred one".