10102002213409 has 2 divisors, whose sum is σ = 10102002213410. Its totient is φ = 10102002213408.

The previous prime is 10102002213343. The next prime is 10102002213421. The reversal of 10102002213409 is 90431220020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10055697629184 + 46304584225 = 3171072^2 + 215185^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102002213409 - 2¹⁹ = 10102001689121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102002213109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051001106704 + 5051001106705.

It is an arithmetic number, because the mean of its divisors is an integer number (5051001106705).

Almost surely, 2^{10102002213409} is an apocalyptic number.

It is an amenable number.

10102002213409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102002213409 is an equidigital number, since it uses as much as digits as its factorization.

10102002213409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 10102002213409 in words is "ten trillion, one hundred two billion, two million, two hundred thirteen thousand, four hundred nine".