100010110101003 has 8 divisors (see below), whose sum is σ = 148163126075600. Its totient is φ = 66673406733984.

The previous prime is 100010110100987. The next prime is 100010110101007. The reversal of 100010110101003 is 300101011010001.

It is not a de Polignac number, because 100010110101003 - 2⁴ = 100010110100987 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010110101007) 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, 1852039075918 + ... + 1852039075971.

It is an arithmetic number, because the mean of its divisors is an integer number (18520390759450).

Almost surely, 2^{100010110101003} is an apocalyptic number.

100010110101003 is a deficient number, since it is larger than the sum of its proper divisors (48153015974597).

100010110101003 is an equidigital number, since it uses as much as digits as its factorization.

100010110101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704078151898 (or 3704078151892 counting only the distinct ones).

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

Adding to 100010110101003 its reverse (300101011010001), we get a palindrome (400111121111004).

The spelling of 100010110101003 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred one thousand, three".