10002000211213 has 2 divisors, whose sum is σ = 10002000211214. Its totient is φ = 10002000211212.

The previous prime is 10002000211129. The next prime is 10002000211249. The reversal of 10002000211213 is 31211200020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6114012858409 + 3887987352804 = 2472653^2 + 1971798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002000211213 is a prime.

It is a super-2 number, since 2×10002000211213² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002000211193 and 10002000211202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002000211253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000105606 + 5001000105607.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000105607).

Almost surely, 2^{10002000211213} is an apocalyptic number.

It is an amenable number.

10002000211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002000211213 is an equidigital number, since it uses as much as digits as its factorization.

10002000211213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10002000211213 its reverse (31211200020001), we get a palindrome (41213200231214).

The spelling of 10002000211213 in words is "ten trillion, two billion, two hundred eleven thousand, two hundred thirteen".