10000102201213 has 2 divisors, whose sum is σ = 10000102201214. Its totient is φ = 10000102201212.

The previous prime is 10000102201147. The next prime is 10000102201247. The reversal of 10000102201213 is 31210220100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8611800860569 + 1388301340644 = 2934587^2 + 1178262^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000102201213 - 2²⁹ = 9999565330301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000102201193 and 10000102201202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000102202213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051100606 + 5000051100607.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051100607).

Almost surely, 2^{10000102201213} is an apocalyptic number.

It is an amenable number.

10000102201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102201213 is an equidigital number, since it uses as much as digits as its factorization.

10000102201213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000102201213 its reverse (31210220100001), we get a palindrome (41210322301214).

The spelling of 10000102201213 in words is "ten trillion, one hundred two million, two hundred one thousand, two hundred thirteen".