10002121123 has 2 divisors, whose sum is σ = 10002121124. Its totient is φ = 10002121122.

The previous prime is 10002121079. The next prime is 10002121127. The reversal of 10002121123 is 32112120001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002121123 is a prime.

It is a super-4 number, since 4×10002121123⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10002121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060561 + 5001060562.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060562).

Almost surely, 2^10002121123 is an apocalyptic number.

10002121123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002121123 is an equidigital number, since it uses as much as digits as its factorization.

10002121123 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 10002121123 its reverse (32112120001), we get a palindrome (42114241124).

The spelling of 10002121123 in words is "ten billion, two million, one hundred twenty-one thousand, one hundred twenty-three".