101021112121 has 2 divisors, whose sum is σ = 101021112122. Its totient is φ = 101021112120.

The previous prime is 101021112047. The next prime is 101021112133. The reversal of 101021112121 is 121211120101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97072749225 + 3948362896 = 311565^2 + 62836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101021112121 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021112221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510556060 + 50510556061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510556061).

Almost surely, 2^101021112121 is an apocalyptic number.

It is an amenable number.

101021112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021112121 is an equidigital number, since it uses as much as digits as its factorization.

101021112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021112121 its reverse (121211120101), we get a palindrome (222232232222).

The spelling of 101021112121 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, one hundred twenty-one".