100000018121 has 2 divisors, whose sum is σ = 100000018122. Its totient is φ = 100000018120.

The previous prime is 100000018103. The next prime is 100000018133. The reversal of 100000018121 is 121810000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81188524096 + 18811494025 = 284936^2 + 137155^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000018121 - 2⁶ = 100000018057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000018096 and 100000018105.

It is not a weakly prime, because it can be changed into another prime (100000018421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000009060 + 50000009061.

It is an arithmetic number, because the mean of its divisors is an integer number (50000009061).

Almost surely, 2^100000018121 is an apocalyptic number.

It is an amenable number.

100000018121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000018121 is an equidigital number, since it uses as much as digits as its factorization.

100000018121 is an evil number, because the sum of its binary digits is even.

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

Adding to 100000018121 its reverse (121810000001), we get a palindrome (221810018122).

The spelling of 100000018121 in words is "one hundred billion, eighteen thousand, one hundred twenty-one".