100112200121 has 2 divisors, whose sum is σ = 100112200122. Its totient is φ = 100112200120.

The previous prime is 100112200093. The next prime is 100112200163. The reversal of 100112200121 is 121002211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83163024400 + 16949175721 = 288380^2 + 130189^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112200121 - 2¹⁴ = 100112183737 is a prime.

It is a super-2 number, since 2×100112200121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112200421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056100060 + 50056100061.

It is an arithmetic number, because the mean of its divisors is an integer number (50056100061).

Almost surely, 2^100112200121 is an apocalyptic number.

It is an amenable number.

100112200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112200121 is an equidigital number, since it uses as much as digits as its factorization.

100112200121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112200121 its reverse (121002211001), we get a palindrome (221114411122).

The spelling of 100112200121 in words is "one hundred billion, one hundred twelve million, two hundred thousand, one hundred twenty-one".