10121219477813 has 2 divisors, whose sum is σ = 10121219477814. Its totient is φ = 10121219477812.

The previous prime is 10121219477783. The next prime is 10121219477833. The reversal of 10121219477813 is 31877491212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10100656491409 + 20562986404 = 3178153^2 + 143398^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121219477813 - 2³⁸ = 9846341570869 is a prime.

It is a super-2 number, since 2×10121219477813² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121219477833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060609738906 + 5060609738907.

It is an arithmetic number, because the mean of its divisors is an integer number (5060609738907).

Almost surely, 2^{10121219477813} is an apocalyptic number.

It is an amenable number.

10121219477813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121219477813 is an equidigital number, since it uses as much as digits as its factorization.

10121219477813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 47.

The spelling of 10121219477813 in words is "ten trillion, one hundred twenty-one billion, two hundred nineteen million, four hundred seventy-seven thousand, eight hundred thirteen".