10100000121373 has 2 divisors, whose sum is σ = 10100000121374. Its totient is φ = 10100000121372.

The previous prime is 10100000121371. The next prime is 10100000121389. The reversal of 10100000121373 is 37312100000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6247310289444 + 3852689831929 = 2499462^2 + 1962827^2 .

It is an emirp because it is prime and its reverse (37312100000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000121373 - 2¹ = 10100000121371 is a prime.

It is a super-2 number, since 2×10100000121373² (a number of 27 digits) contains 22 as substring.

Together with 10100000121371, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10100000121373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000121371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000060686 + 5050000060687.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000060687).

Almost surely, 2^{10100000121373} is an apocalyptic number.

It is an amenable number.

10100000121373 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000121373 is an equidigital number, since it uses as much as digits as its factorization.

10100000121373 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 10100000121373 its reverse (37312100000101), we get a palindrome (47412100121474).

The spelling of 10100000121373 in words is "ten trillion, one hundred billion, one hundred twenty-one thousand, three hundred seventy-three".