100002012100321 has 2 divisors, whose sum is σ = 100002012100322. Its totient is φ = 100002012100320.

The previous prime is 100002012100303. The next prime is 100002012100339. The reversal of 100002012100321 is 123001210200001.

It is a balanced prime because it is at equal distance from previous prime (100002012100303) and next prime (100002012100339).

It can be written as a sum of positive squares in only one way, i.e., 89231072288400 + 10770939811921 = 9446220^2 + 3281911^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002012100321 - 2¹¹ = 100002012098273 is a prime.

It is a super-2 number, since 2×100002012100321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100002082100321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001006050160 + 50001006050161.

It is an arithmetic number, because the mean of its divisors is an integer number (50001006050161).

Almost surely, 2^{100002012100321} is an apocalyptic number.

It is an amenable number.

100002012100321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002012100321 is an equidigital number, since it uses as much as digits as its factorization.

100002012100321 is an evil number, because the sum of its binary digits is even.

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

Adding to 100002012100321 its reverse (123001210200001), we get a palindrome (223003222300322).

The spelling of 100002012100321 in words is "one hundred trillion, two billion, twelve million, one hundred thousand, three hundred twenty-one".