100112121200103 has 32 divisors (see below), whose sum is σ = 135265707585792. Its totient is φ = 65852090304000.

The previous prime is 100112121200057. The next prime is 100112121200123. The reversal of 100112121200103 is 301002121211001.

It is not a de Polignac number, because 100112121200103 - 2²⁹ = 100111584329191 is a prime.

It is a super-2 number, since 2×100112121200103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121200123) 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, 936790893 + ... + 936897753.

It is an arithmetic number, because the mean of its divisors is an integer number (4227053362056).

Almost surely, 2^{100112121200103} is an apocalyptic number.

100112121200103 is a deficient number, since it is larger than the sum of its proper divisors (35153586385689).

100112121200103 is a wasteful number, since it uses less digits than its factorization.

100112121200103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111775.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100112121200103 its reverse (301002121211001), we get a palindrome (401114242411104).

The spelling of 100112121200103 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, one hundred three".