10103131122281 has 2 divisors, whose sum is σ = 10103131122282. Its totient is φ = 10103131122280.

The previous prime is 10103131122269. The next prime is 10103131122317. The reversal of 10103131122281 is 18222113130101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6669926064400 + 3433205057881 = 2582620^2 + 1852891^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103131122281 - 2³⁴ = 10085951253097 is a prime.

It is a super-3 number, since 3×10103131122281³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10103131122281.

It is not a weakly prime, because it can be changed into another prime (10103731122281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051565561140 + 5051565561141.

It is an arithmetic number, because the mean of its divisors is an integer number (5051565561141).

Almost surely, 2^{10103131122281} is an apocalyptic number.

It is an amenable number.

10103131122281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103131122281 is an equidigital number, since it uses as much as digits as its factorization.

10103131122281 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 26.

Adding to 10103131122281 its reverse (18222113130101), we get a palindrome (28325244252382).

The spelling of 10103131122281 in words is "ten trillion, one hundred three billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred eighty-one".