10100302321121 has 2 divisors, whose sum is σ = 10100302321122. Its totient is φ = 10100302321120.

The previous prime is 10100302321063. The next prime is 10100302321127. The reversal of 10100302321121 is 12112320300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9837230782096 + 263071539025 = 3136436^2 + 512905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100302321121 - 2¹⁴ = 10100302304737 is a prime.

It is a super-2 number, since 2×10100302321121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100302321121.

It is not a weakly prime, because it can be changed into another prime (10100302321127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050151160560 + 5050151160561.

It is an arithmetic number, because the mean of its divisors is an integer number (5050151160561).

Almost surely, 2^{10100302321121} is an apocalyptic number.

It is an amenable number.

10100302321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100302321121 is an equidigital number, since it uses as much as digits as its factorization.

10100302321121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10100302321121 its reverse (12112320300101), we get a palindrome (22212622621222).

The spelling of 10100302321121 in words is "ten trillion, one hundred billion, three hundred two million, three hundred twenty-one thousand, one hundred twenty-one".