10300122131081 has 2 divisors, whose sum is σ = 10300122131082. Its totient is φ = 10300122131080.

The previous prime is 10300122130951. The next prime is 10300122131087. The reversal of 10300122131081 is 18013122100301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8206414419856 + 2093707711225 = 2864684^2 + 1446965^2 .

It is an emirp because it is prime and its reverse (18013122100301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10300122131081 - 2¹⁸ = 10300121868937 is a prime.

It is a super-2 number, since 2×10300122131081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10300122131087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150061065540 + 5150061065541.

It is an arithmetic number, because the mean of its divisors is an integer number (5150061065541).

Almost surely, 2^{10300122131081} is an apocalyptic number.

It is an amenable number.

10300122131081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300122131081 is an equidigital number, since it uses as much as digits as its factorization.

10300122131081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10300122131081 its reverse (18013122100301), we get a palindrome (28313244231382).

The spelling of 10300122131081 in words is "ten trillion, three hundred billion, one hundred twenty-two million, one hundred thirty-one thousand, eighty-one".