2101110101003 has 8 divisors (see below), whose sum is σ = 2113011463680. Its totient is φ = 2089210553320.

The previous prime is 2101110100993. The next prime is 2101110101017. The reversal of 2101110101003 is 3001010111012.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101110101003 - 2¹⁶ = 2101110035467 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101110101053) 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 7 ways as a sum of consecutive naturals, for example, 1902638 + ... + 2796828.

It is an arithmetic number, because the mean of its divisors is an integer number (264126432960).

Almost surely, 2^{2101110101003} is an apocalyptic number.

2101110101003 is a deficient number, since it is larger than the sum of its proper divisors (11901362677).

2101110101003 is a wasteful number, since it uses less digits than its factorization.

2101110101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907497.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 2101110101003 its reverse (3001010111012), we get a palindrome (5102120212015).

The spelling of 2101110101003 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred one thousand, three".