101111022121121 has 2 divisors, whose sum is σ = 101111022121122. Its totient is φ = 101111022121120.

The previous prime is 101111022121099. The next prime is 101111022121159. The reversal of 101111022121121 is 121121220111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65842448720896 + 35268573400225 = 8114336^2 + 5938735^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111022121121 - 2²² = 101111017926817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111022121121.

It is not a weakly prime, because it can be changed into another prime (101111022121181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555511060560 + 50555511060561.

It is an arithmetic number, because the mean of its divisors is an integer number (50555511060561).

Almost surely, 2^{101111022121121} is an apocalyptic number.

It is an amenable number.

101111022121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111022121121 is an equidigital number, since it uses as much as digits as its factorization.

101111022121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101111022121121 its reverse (121121220111101), we get a palindrome (222232242232222).

The spelling of 101111022121121 in words is "one hundred one trillion, one hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".