100112200120121 has 16 divisors (see below), whose sum is σ = 114590714598144. Its totient is φ = 85677882126144.

The previous prime is 100112200120117. The next prime is 100112200120139. The reversal of 100112200120121 is 121021002211001.

It is not a de Polignac number, because 100112200120121 - 2² = 100112200120117 is a prime.

It is a super-2 number, since 2×100112200120121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112200120096 and 100112200120105.

It is not an unprimeable number, because it can be changed into a prime (100112200123121) 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, 602955311 + ... + 603121323.

It is an arithmetic number, because the mean of its divisors is an integer number (7161919662384).

Almost surely, 2^{100112200120121} is an apocalyptic number.

It is an amenable number.

100112200120121 is a deficient number, since it is larger than the sum of its proper divisors (14478514478023).

100112200120121 is a wasteful number, since it uses less digits than its factorization.

100112200120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298600.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112200120121 its reverse (121021002211001), we get a palindrome (221133202331122).

The spelling of 100112200120121 in words is "one hundred trillion, one hundred twelve billion, two hundred million, one hundred twenty thousand, one hundred twenty-one".