1000000101003 has 32 divisors (see below), whose sum is σ = 1393302643200. Its totient is φ = 636766158336.

The previous prime is 1000000100909. The next prime is 1000000101013. The reversal of 1000000101003 is 3001010000001.

1000000101003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000000101003 - 2³⁷ = 862561147531 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000000100982 and 1000000101000.

It is not an unprimeable number, because it can be changed into a prime (1000000101013) 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, 199638163 + ... + 199643171.

It is an arithmetic number, because the mean of its divisors is an integer number (43540707600).

Almost surely, 2^{1000000101003} is an apocalyptic number.

1000000101003 is a deficient number, since it is larger than the sum of its proper divisors (393302542197).

1000000101003 is a wasteful number, since it uses less digits than its factorization.

1000000101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 1000000101003 its reverse (3001010000001), we get a palindrome (4001010101004).

The spelling of 1000000101003 in words is "one trillion, one hundred one thousand, three".