10122101012291 has 2 divisors, whose sum is σ = 10122101012292. Its totient is φ = 10122101012290.

The previous prime is 10122101012239. The next prime is 10122101012327. The reversal of 10122101012291 is 19221010122101.

It is a happy number.

10122101012291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10122101012291 - 2⁶ = 10122101012227 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122101017291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061050506145 + 5061050506146.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050506146).

Almost surely, 2^{10122101012291} is an apocalyptic number.

10122101012291 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122101012291 is an equidigital number, since it uses as much as digits as its factorization.

10122101012291 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 10122101012291 its reverse (19221010122101), we get a palindrome (29343111134392).

The spelling of 10122101012291 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, two hundred ninety-one".