1005210245101 has 2 divisors, whose sum is σ = 1005210245102. Its totient is φ = 1005210245100.

The previous prime is 1005210245099. The next prime is 1005210245113. The reversal of 1005210245101 is 1015420125001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 972736403076 + 32473842025 = 986274^2 + 180205^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005210245101 - 2¹ = 1005210245099 is a prime.

Together with 1005210245099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005210245401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502605122550 + 502605122551.

It is an arithmetic number, because the mean of its divisors is an integer number (502605122551).

Almost surely, 2^{1005210245101} is an apocalyptic number.

It is an amenable number.

1005210245101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005210245101 is an equidigital number, since it uses as much as digits as its factorization.

1005210245101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 400, while the sum is 22.

The spelling of 1005210245101 in words is "one trillion, five billion, two hundred ten million, two hundred forty-five thousand, one hundred one".