100202012022289 has 2 divisors, whose sum is σ = 100202012022290. Its totient is φ = 100202012022288.

The previous prime is 100202012022197. The next prime is 100202012022311. The reversal of 100202012022289 is 982220210202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99819921144064 + 382090878225 = 9990992^2 + 618135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202012022289 - 2²¹ = 100202009925137 is a prime.

It is a super-3 number, since 3×100202012022289³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100202012022289.

It is not a weakly prime, because it can be changed into another prime (100202012022689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101006011144 + 50101006011145.

It is an arithmetic number, because the mean of its divisors is an integer number (50101006011145).

Almost surely, 2^{100202012022289} is an apocalyptic number.

It is an amenable number.

100202012022289 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202012022289 is an equidigital number, since it uses as much as digits as its factorization.

100202012022289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 100202012022289 in words is "one hundred trillion, two hundred two billion, twelve million, twenty-two thousand, two hundred eighty-nine".