1002231222961 has 2 divisors, whose sum is σ = 1002231222962. Its totient is φ = 1002231222960.

The previous prime is 1002231222859. The next prime is 1002231222973. The reversal of 1002231222961 is 1692221322001.

1002231222961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 709056623025 + 293174599936 = 842055^2 + 541456^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002231222961 - 2⁷ = 1002231222833 is a prime.

It is a super-3 number, since 3×1002231222961³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1002231222761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501115611480 + 501115611481.

It is an arithmetic number, because the mean of its divisors is an integer number (501115611481).

Almost surely, 2^{1002231222961} is an apocalyptic number.

It is an amenable number.

1002231222961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002231222961 is an equidigital number, since it uses as much as digits as its factorization.

1002231222961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 1002231222961 its reverse (1692221322001), we get a palindrome (2694452544962).

The spelling of 1002231222961 in words is "one trillion, two billion, two hundred thirty-one million, two hundred twenty-two thousand, nine hundred sixty-one".