100210202212189 has 2 divisors, whose sum is σ = 100210202212190. Its totient is φ = 100210202212188.

The previous prime is 100210202212163. The next prime is 100210202212231. The reversal of 100210202212189 is 981212202012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74571342120900 + 25638860091289 = 8635470^2 + 5063483^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210202212189 - 2⁹ = 100210202211677 is a prime.

It is a super-3 number, since 3×100210202212189³ (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 100210202212189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210202212489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105101106094 + 50105101106095.

It is an arithmetic number, because the mean of its divisors is an integer number (50105101106095).

Almost surely, 2^{100210202212189} is an apocalyptic number.

It is an amenable number.

100210202212189 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210202212189 is an equidigital number, since it uses as much as digits as its factorization.

100210202212189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 100210202212189 in words is "one hundred trillion, two hundred ten billion, two hundred two million, two hundred twelve thousand, one hundred eighty-nine".