1002100122003 has 16 divisors (see below), whose sum is σ = 1339078296960. Its totient is φ = 666595956096.

The previous prime is 1002100121993. The next prime is 1002100122073. The reversal of 1002100122003 is 3002210012001.

It is not a de Polignac number, because 1002100122003 - 2⁴ = 1002100121987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002100122003.

It is not an unprimeable number, because it can be changed into a prime (1002100122073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2303176 + ... + 2703482.

It is an arithmetic number, because the mean of its divisors is an integer number (83692393560).

Almost surely, 2^{1002100122003} is an apocalyptic number.

1002100122003 is a deficient number, since it is larger than the sum of its proper divisors (336978174957).

1002100122003 is a wasteful number, since it uses less digits than its factorization.

1002100122003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402146.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002100122003 its reverse (3002210012001), we get a palindrome (4004310134004).

The spelling of 1002100122003 in words is "one trillion, two billion, one hundred million, one hundred twenty-two thousand, three".