10100220002123 has 2 divisors, whose sum is σ = 10100220002124. Its totient is φ = 10100220002122.

The previous prime is 10100220002087. The next prime is 10100220002141. The reversal of 10100220002123 is 32120002200101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100220002123 - 2¹⁰ = 10100220001099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100220002098 and 10100220002107.

It is not a weakly prime, because it can be changed into another prime (10100220002153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050110001061 + 5050110001062.

It is an arithmetic number, because the mean of its divisors is an integer number (5050110001062).

Almost surely, 2^{10100220002123} is an apocalyptic number.

10100220002123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100220002123 is an equidigital number, since it uses as much as digits as its factorization.

10100220002123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10100220002123 its reverse (32120002200101), we get a palindrome (42220222202224).

The spelling of 10100220002123 in words is "ten trillion, one hundred billion, two hundred twenty million, two thousand, one hundred twenty-three".