101002122100003 has 12 divisors (see below), whose sum is σ = 103899412409680. Its totient is φ = 98182920035520.

The previous prime is 101002122099959. The next prime is 101002122100057. The reversal of 101002122100003 is 300001221200101.

It is not a de Polignac number, because 101002122100003 - 2⁹ = 101002122099491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002122100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107990223 + ... + 108921496.

Almost surely, 2^{101002122100003} is an apocalyptic number.

101002122100003 is a deficient number, since it is larger than the sum of its proper divisors (2897290309677).

101002122100003 is an equidigital number, since it uses as much as digits as its factorization.

101002122100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216912078 (or 216912037 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101002122100003 its reverse (300001221200101), we get a palindrome (401003343300104).

The spelling of 101002122100003 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred thousand, three".