101111212121 has 2 divisors, whose sum is σ = 101111212122. Its totient is φ = 101111212120.

The previous prime is 101111212099. The next prime is 101111212129. The reversal of 101111212121 is 121212111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101019722896 + 91489225 = 317836^2 + 9565^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111212121 - 2¹⁴ = 101111195737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111212096 and 101111212105.

It is not a weakly prime, because it can be changed into another prime (101111212129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555606060 + 50555606061.

It is an arithmetic number, because the mean of its divisors is an integer number (50555606061).

Almost surely, 2^101111212121 is an apocalyptic number.

It is an amenable number.

101111212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111212121 is an equidigital number, since it uses as much as digits as its factorization.

101111212121 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 14.

Adding to 101111212121 its reverse (121212111101), we get a palindrome (222323323222).

The spelling of 101111212121 in words is "one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-one".