1010000101003 has 8 divisors (see below), whose sum is σ = 1017297388800. Its totient is φ = 1002703257768.

The previous prime is 1010000100959. The next prime is 1010000101081. The reversal of 1010000101003 is 3001010000101.

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 1010000101003 - 2¹⁷ = 1009999969931 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010000101403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5449818 + ... + 5632096.

It is an arithmetic number, because the mean of its divisors is an integer number (127162173600).

Almost surely, 2^{1010000101003} is an apocalyptic number.

1010000101003 is a deficient number, since it is larger than the sum of its proper divisors (7297287797).

1010000101003 is a wasteful number, since it uses less digits than its factorization.

1010000101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222281.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1010000101003 its reverse (3001010000101), we get a palindrome (4011010101104).

The spelling of 1010000101003 in words is "one trillion, ten billion, one hundred one thousand, three".