100200012121009 has 2 divisors, whose sum is σ = 100200012121010. Its totient is φ = 100200012121008.

The previous prime is 100200012120973. The next prime is 100200012121043. The reversal of 100200012121009 is 900121210002001.

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., 65909068033600 + 34290944087409 = 8118440^2 + 5855847^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200012121009 - 2⁹ = 100200012120497 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200012121049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100006060504 + 50100006060505.

It is an arithmetic number, because the mean of its divisors is an integer number (50100006060505).

Almost surely, 2^{100200012121009} is an apocalyptic number.

It is an amenable number.

100200012121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200012121009 is an equidigital number, since it uses as much as digits as its factorization.

100200012121009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 100200012121009 in words is "one hundred trillion, two hundred billion, twelve million, one hundred twenty-one thousand, nine".