10100121209989 has 2 divisors, whose sum is σ = 10100121209990. Its totient is φ = 10100121209988.

The previous prime is 10100121209921. The next prime is 10100121210013. The reversal of 10100121209989 is 98990212100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9506997888964 + 593123321025 = 3083342^2 + 770145^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100121209989 - 2³⁷ = 9962682256517 is a prime.

It is a super-2 number, since 2×10100121209989² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100121209489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060604994 + 5050060604995.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060604995).

Almost surely, 2^{10100121209989} is an apocalyptic number.

It is an amenable number.

10100121209989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121209989 is an equidigital number, since it uses as much as digits as its factorization.

10100121209989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 43.

The spelling of 10100121209989 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred nine thousand, nine hundred eighty-nine".