100200112121 has 2 divisors, whose sum is σ = 100200112122. Its totient is φ = 100200112120.

The previous prime is 100200112013. The next prime is 100200112123. The reversal of 100200112121 is 121211002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83613505600 + 16586606521 = 289160^2 + 128789^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200112121 - 2¹⁰ = 100200111097 is a prime.

It is a super-2 number, since 2×100200112121² (a number of 23 digits) contains 22 as substring.

Together with 100200112123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100200112123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100056060 + 50100056061.

It is an arithmetic number, because the mean of its divisors is an integer number (50100056061).

Almost surely, 2^100200112121 is an apocalyptic number.

It is an amenable number.

100200112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200112121 is an equidigital number, since it uses as much as digits as its factorization.

100200112121 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 100200112121 its reverse (121211002001), we get a palindrome (221411114122).

It can be divided in two parts, 1002001 and 12121, that multiplied together give a palindrome (12145254121).

The spelling of 100200112121 in words is "one hundred billion, two hundred million, one hundred twelve thousand, one hundred twenty-one".