10002000101103 has 32 divisors (see below), whose sum is σ = 15001732999680. Its totient is φ = 6585637322880.

The previous prime is 10002000101039. The next prime is 10002000101111. The reversal of 10002000101103 is 30110100020001.

It is not a de Polignac number, because 10002000101103 - 2⁶ = 10002000101039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000102103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4928563 + ... + 6655428.

It is an arithmetic number, because the mean of its divisors is an integer number (468804156240).

Almost surely, 2^{10002000101103} is an apocalyptic number.

10002000101103 is a deficient number, since it is larger than the sum of its proper divisors (4999732898577).

10002000101103 is a wasteful number, since it uses less digits than its factorization.

10002000101103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584396 (or 11584390 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10002000101103 its reverse (30110100020001), we get a palindrome (40112100121104).

The spelling of 10002000101103 in words is "ten trillion, two billion, one hundred one thousand, one hundred three".