101002124312321 has 2 divisors, whose sum is σ = 101002124312322. Its totient is φ = 101002124312320.

The previous prime is 101002124312311. The next prime is 101002124312387. The reversal of 101002124312321 is 123213421200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100587079134721 + 415045177600 = 10029311^2 + 644240^2 .

It is an emirp because it is prime and its reverse (123213421200101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002124312321 is a prime.

It is not a weakly prime, because it can be changed into another prime (101002124312311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501062156160 + 50501062156161.

It is an arithmetic number, because the mean of its divisors is an integer number (50501062156161).

Almost surely, 2^{101002124312321} is an apocalyptic number.

It is an amenable number.

101002124312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002124312321 is an equidigital number, since it uses as much as digits as its factorization.

101002124312321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101002124312321 its reverse (123213421200101), we get a palindrome (224215545512422).

The spelling of 101002124312321 in words is "one hundred one trillion, two billion, one hundred twenty-four million, three hundred twelve thousand, three hundred twenty-one".