100330101003 has 16 divisors (see below), whose sum is σ = 145942128000. Its totient is φ = 60803023680.

The previous prime is 100330100963. The next prime is 100330101013. The reversal of 100330101003 is 300101033001.

It is not a de Polignac number, because 100330101003 - 2⁹ = 100330100491 is a prime.

It is a super-2 number, since 2×100330101003² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100330101003.

It is not an unprimeable number, because it can be changed into a prime (100330101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695023 + ... + 826871.

It is an arithmetic number, because the mean of its divisors is an integer number (9121383000).

Almost surely, 2^100330101003 is an apocalyptic number.

100330101003 is a deficient number, since it is larger than the sum of its proper divisors (45612026997).

100330101003 is a wasteful number, since it uses less digits than its factorization.

100330101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154922.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100330101003 its reverse (300101033001), we get a palindrome (400431134004).

The spelling of 100330101003 in words is "one hundred billion, three hundred thirty million, one hundred one thousand, three".