100301303103001 has 160 divisors (see below), whose sum is σ = 139398180320000. Its totient is φ = 72136857592800.

The previous prime is 100301303102911. The next prime is 100301303103187.

100301303103001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100301303103001 - 2¹³ = 100301303094809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100301303103301) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11033028466 + ... + 11033037556.

It is an arithmetic number, because the mean of its divisors is an integer number (871238627000).

Almost surely, 2^{100301303103001} is an apocalyptic number.

100301303103001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100301303103001 is a deficient number, since it is larger than the sum of its proper divisors (39096877216999).

100301303103001 is an frugal number, since it uses more digits than its factorization.

100301303103001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 10030130 and 3103001, that added together give a palindrome (13133131).

The spelling of 100301303103001 in words is "one hundred trillion, three hundred one billion, three hundred three million, one hundred three thousand, one".