101010001101003 has 32 divisors (see below), whose sum is σ = 149916927827520. Its totient is φ = 67217390127360.

The previous prime is 101010001100951. The next prime is 101010001101007. The reversal of 101010001101003 is 300101100010101.

It is not a de Polignac number, because 101010001101003 - 2²⁸ = 101009732665547 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101010001101007) 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, 916376433 + ... + 916486653.

It is an arithmetic number, because the mean of its divisors is an integer number (4684903994610).

Almost surely, 2^{101010001101003} is an apocalyptic number.

101010001101003 is a deficient number, since it is larger than the sum of its proper divisors (48906926726517).

101010001101003 is a wasteful number, since it uses less digits than its factorization.

101010001101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171724 (or 171718 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101010001101003 its reverse (300101100010101), we get a palindrome (401111101111104).

The spelling of 101010001101003 in words is "one hundred one trillion, ten billion, one million, one hundred one thousand, three".