1022002003123 has 16 divisors (see below), whose sum is σ = 1069604718336. Its totient is φ = 974664804960.

The previous prime is 1022002003093. The next prime is 1022002003153. The reversal of 1022002003123 is 3213002002201.

It is an interprime number because it is at equal distance from previous prime (1022002003093) and next prime (1022002003153).

It is a cyclic number.

It is not a de Polignac number, because 1022002003123 - 2¹³ = 1022001994931 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022002003097 and 1022002003106.

It is not an unprimeable number, because it can be changed into a prime (1022002003153) 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 in 15 ways as a sum of consecutive naturals, for example, 33502908 + ... + 33533398.

It is an arithmetic number, because the mean of its divisors is an integer number (66850294896).

Almost surely, 2^{1022002003123} is an apocalyptic number.

1022002003123 is a deficient number, since it is larger than the sum of its proper divisors (47602715213).

1022002003123 is a wasteful number, since it uses less digits than its factorization.

1022002003123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1022002003123 its reverse (3213002002201), we get a palindrome (4235004005324).

The spelling of 1022002003123 in words is "one trillion, twenty-two billion, two million, three thousand, one hundred twenty-three".