100210012122329 has 2 divisors, whose sum is σ = 100210012122330. Its totient is φ = 100210012122328.

The previous prime is 100210012122317. The next prime is 100210012122343. The reversal of 100210012122329 is 923221210012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54956675878729 + 45253336243600 = 7413277^2 + 6727060^2 .

It is an emirp because it is prime and its reverse (923221210012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210012122329 - 2¹² = 100210012118233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210012122298 and 100210012122307.

It is not a weakly prime, because it can be changed into another prime (100210012124329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105006061164 + 50105006061165.

It is an arithmetic number, because the mean of its divisors is an integer number (50105006061165).

Almost surely, 2^{100210012122329} is an apocalyptic number.

It is an amenable number.

100210012122329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210012122329 is an equidigital number, since it uses as much as digits as its factorization.

100210012122329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 100210012122329 in words is "one hundred trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, three hundred twenty-nine".