100202112112103 has 16 divisors (see below), whose sum is σ = 103308682561344. Its totient is φ = 97116693638400.

The previous prime is 100202112112051. The next prime is 100202112112111. The reversal of 100202112112103 is 301211211202001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100202112112103 - 2¹⁴ = 100202112095719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202112192103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38157203 + ... + 40698603.

It is an arithmetic number, because the mean of its divisors is an integer number (6456792660084).

Almost surely, 2^{100202112112103} is an apocalyptic number.

100202112112103 is a deficient number, since it is larger than the sum of its proper divisors (3106570449241).

100202112112103 is a wasteful number, since it uses less digits than its factorization.

100202112112103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545562.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100202112112103 its reverse (301211211202001), we get a palindrome (401413323314104).

The spelling of 100202112112103 in words is "one hundred trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred three".