100012022133103 has 16 divisors (see below), whose sum is σ = 103252375960416. Its totient is φ = 96799998689280.

The previous prime is 100012022133061. The next prime is 100012022133151. The reversal of 100012022133103 is 301331220210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012022133103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012022193103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147988575 + ... + 148662847.

It is an arithmetic number, because the mean of its divisors is an integer number (6453273497526).

Almost surely, 2^{100012022133103} is an apocalyptic number.

100012022133103 is a deficient number, since it is larger than the sum of its proper divisors (3240353827313).

100012022133103 is a wasteful number, since it uses less digits than its factorization.

100012022133103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695274.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100012022133103 its reverse (301331220210001), we get a palindrome (401343242343104).

The spelling of 100012022133103 in words is "one hundred trillion, twelve billion, twenty-two million, one hundred thirty-three thousand, one hundred three".