10121223123101 has 2 divisors, whose sum is σ = 10121223123102. Its totient is φ = 10121223123100.

The previous prime is 10121223123061. The next prime is 10121223123197. The reversal of 10121223123101 is 10132132212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10113996423001 + 7226700100 = 3180251^2 + 85010^2 .

It is an emirp because it is prime and its reverse (10132132212101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121223123101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121223120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060611561550 + 5060611561551.

It is an arithmetic number, because the mean of its divisors is an integer number (5060611561551).

Almost surely, 2^{10121223123101} is an apocalyptic number.

It is an amenable number.

10121223123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121223123101 is an equidigital number, since it uses as much as digits as its factorization.

10121223123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10121223123101 its reverse (10132132212101), we get a palindrome (20253355335202).

The spelling of 10121223123101 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred one".