100010121012003 has 32 divisors (see below), whose sum is σ = 139411750173696. Its totient is φ = 63709519603968.

The previous prime is 100010121011953. The next prime is 100010121012017. The reversal of 100010121012003 is 300210121010001.

It is not a de Polignac number, because 100010121012003 - 2²⁴ = 100010104234787 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010121012003.

It is not an unprimeable number, because it can be changed into a prime (100010121012803) 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, 10336125 + ... + 17517297.

It is an arithmetic number, because the mean of its divisors is an integer number (4356617192928).

Almost surely, 2^{100010121012003} is an apocalyptic number.

100010121012003 is a deficient number, since it is larger than the sum of its proper divisors (39401629161693).

100010121012003 is a wasteful number, since it uses less digits than its factorization.

100010121012003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183563.

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

Adding to 100010121012003 its reverse (300210121010001), we get a palindrome (400220242022004).

The spelling of 100010121012003 in words is "one hundred trillion, ten billion, one hundred twenty-one million, twelve thousand, three".