10100212289 has 2 divisors, whose sum is σ = 10100212290. Its totient is φ = 10100212288.

The previous prime is 10100212253. The next prime is 10100212321. The reversal of 10100212289 is 98221200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8211440689 + 1888771600 = 90617^2 + 43460^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100212289 - 2²⁴ = 10083435073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100212219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050106144 + 5050106145.

It is an arithmetic number, because the mean of its divisors is an integer number (5050106145).

Almost surely, 2^10100212289 is an apocalyptic number.

It is an amenable number.

10100212289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100212289 is an equidigital number, since it uses as much as digits as its factorization.

10100212289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10100212289 in words is "ten billion, one hundred million, two hundred twelve thousand, two hundred eighty-nine".