1082090992001 has 2 divisors, whose sum is σ = 1082090992002. Its totient is φ = 1082090992000.

The previous prime is 1082090991953. The next prime is 1082090992039. The reversal of 1082090992001 is 1002990902801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1078991175025 + 3099816976 = 1038745^2 + 55676^2 .

It is an emirp because it is prime and its reverse (1002990902801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1082090992001 - 2¹⁰ = 1082090990977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1082090992001.

It is not a weakly prime, because it can be changed into another prime (1082090992501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 541045496000 + 541045496001.

It is an arithmetic number, because the mean of its divisors is an integer number (541045496001).

Almost surely, 2^{1082090992001} is an apocalyptic number.

It is an amenable number.

1082090992001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1082090992001 is an equidigital number, since it uses as much as digits as its factorization.

1082090992001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 41.

The spelling of 1082090992001 in words is "one trillion, eighty-two billion, ninety million, nine hundred ninety-two thousand, one".