10102111222003 has 2 divisors, whose sum is σ = 10102111222004. Its totient is φ = 10102111222002.

The previous prime is 10102111222001. The next prime is 10102111222043. The reversal of 10102111222003 is 30022211120101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10102111222003 - 2¹ = 10102111222001 is a prime.

It is a super-2 number, since 2×10102111222003² (a number of 27 digits) contains 22 as substring.

Together with 10102111222001, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10102111222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051055611001 + 5051055611002.

It is an arithmetic number, because the mean of its divisors is an integer number (5051055611002).

Almost surely, 2^{10102111222003} is an apocalyptic number.

10102111222003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102111222003 is an equidigital number, since it uses as much as digits as its factorization.

10102111222003 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 16.

Adding to 10102111222003 its reverse (30022211120101), we get a palindrome (40124322342104).

The spelling of 10102111222003 in words is "ten trillion, one hundred two billion, one hundred eleven million, two hundred twenty-two thousand, three".