10103102112001 has 2 divisors, whose sum is σ = 10103102112002. Its totient is φ = 10103102112000.

The previous prime is 10103102111987. The next prime is 10103102112013. The reversal of 10103102112001 is 10021120130101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5712195600400 + 4390906511601 = 2390020^2 + 2095449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103102112001 - 2⁹ = 10103102111489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10103102112071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051551056000 + 5051551056001.

It is an arithmetic number, because the mean of its divisors is an integer number (5051551056001).

Almost surely, 2^{10103102112001} is an apocalyptic number.

It is an amenable number.

10103102112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103102112001 is an equidigital number, since it uses as much as digits as its factorization.

10103102112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10103102112001 its reverse (10021120130101), we get a palindrome (20124222242102).

The spelling of 10103102112001 in words is "ten trillion, one hundred three billion, one hundred two million, one hundred twelve thousand, one".