2122645531001 has 2 divisors, whose sum is σ = 2122645531002. Its totient is φ = 2122645531000.

The previous prime is 2122645530961. The next prime is 2122645531021. The reversal of 2122645531001 is 1001355462212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1274866810000 + 847778721001 = 1129100^2 + 920749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122645531001 - 2²⁶ = 2122578422137 is a prime.

It is a super-3 number, since 3×2122645531001³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2122645531021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061322765500 + 1061322765501.

It is an arithmetic number, because the mean of its divisors is an integer number (1061322765501).

Almost surely, 2^{2122645531001} is an apocalyptic number.

It is an amenable number.

2122645531001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122645531001 is an equidigital number, since it uses as much as digits as its factorization.

2122645531001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 2122645531001 in words is "two trillion, one hundred twenty-two billion, six hundred forty-five million, five hundred thirty-one thousand, one".