1001002101103 has 16 divisors (see below), whose sum is σ = 1018679980032. Its totient is φ = 983480940000.

The previous prime is 1001002101013. The next prime is 1001002101107. The reversal of 1001002101103 is 3011012001001.

It is a cyclic number.

It is not a de Polignac number, because 1001002101103 - 2⁹ = 1001002100591 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001002101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002101107) 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, 90411058 + ... + 90422128.

It is an arithmetic number, because the mean of its divisors is an integer number (63667498752).

Almost surely, 2^{1001002101103} is an apocalyptic number.

1001002101103 is a deficient number, since it is larger than the sum of its proper divisors (17677878929).

1001002101103 is a wasteful number, since it uses less digits than its factorization.

1001002101103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18006.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1001002101103 its reverse (3011012001001), we get a palindrome (4012014102104).

The spelling of 1001002101103 in words is "one trillion, one billion, two million, one hundred one thousand, one hundred three".