10120123213261 has 2 divisors, whose sum is σ = 10120123213262. Its totient is φ = 10120123213260.

The previous prime is 10120123213153. The next prime is 10120123213271. The reversal of 10120123213261 is 16231232102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8000242540900 + 2119880672361 = 2828470^2 + 1455981^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120123213261 - 2²³ = 10120114824653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120123213271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060061606630 + 5060061606631.

It is an arithmetic number, because the mean of its divisors is an integer number (5060061606631).

Almost surely, 2^{10120123213261} is an apocalyptic number.

It is an amenable number.

10120123213261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120123213261 is an equidigital number, since it uses as much as digits as its factorization.

10120123213261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10120123213261 its reverse (16231232102101), we get a palindrome (26351355315362).

The spelling of 10120123213261 in words is "ten trillion, one hundred twenty billion, one hundred twenty-three million, two hundred thirteen thousand, two hundred sixty-one".