101122121 has 2 divisors, whose sum is σ = 101122122. Its totient is φ = 101122120.

The previous prime is 101122117. The next prime is 101122129. The reversal of 101122121 is 121221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82156096 + 18966025 = 9064^2 + 4355^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122121 - 2² = 101122117 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101122129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561060 + 50561061.

It is an arithmetic number, because the mean of its divisors is an integer number (50561061).

Almost surely, 2^101122121 is an apocalyptic number.

It is an amenable number.

101122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122121 is an equidigital number, since it uses as much as digits as its factorization.

101122121 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.

The square root of 101122121 is about 10055.9495324907. The cubic root of 101122121 is about 465.8885711090. Note that the first 3 decimals are identical.

Adding to 101122121 its reverse (121221101), we get a palindrome (222343222).

It can be divided in two parts, 1011 and 22121, that added together give a palindrome (23132).

The spelling of 101122121 in words is "one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".