10105500121 has 2 divisors, whose sum is σ = 10105500122. Its totient is φ = 10105500120.

The previous prime is 10105500101. The next prime is 10105500143. The reversal of 10105500121 is 12100550101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5804763721 + 4300736400 = 76189^2 + 65580^2 .

It is an emirp because it is prime and its reverse (12100550101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10105500121 - 2¹⁹ = 10104975833 is a prime.

It is a super-2 number, since 2×10105500121² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105500095 and 10105500104.

It is not a weakly prime, because it can be changed into another prime (10105500101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052750060 + 5052750061.

It is an arithmetic number, because the mean of its divisors is an integer number (5052750061).

Almost surely, 2^10105500121 is an apocalyptic number.

It is an amenable number.

10105500121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105500121 is an equidigital number, since it uses as much as digits as its factorization.

10105500121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 16.

The spelling of 10105500121 in words is "ten billion, one hundred five million, five hundred thousand, one hundred twenty-one".