101100121121 has 2 divisors, whose sum is σ = 101100121122. Its totient is φ = 101100121120.

The previous prime is 101100121103. The next prime is 101100121153. The reversal of 101100121121 is 121121001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51397877521 + 49702243600 = 226711^2 + 222940^2 .

It is an emirp because it is prime and its reverse (121121001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100121121 - 2²⁶ = 101033012257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101100121621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550060560 + 50550060561.

It is an arithmetic number, because the mean of its divisors is an integer number (50550060561).

Almost surely, 2^101100121121 is an apocalyptic number.

It is an amenable number.

101100121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100121121 is an equidigital number, since it uses as much as digits as its factorization.

101100121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100121121 its reverse (121121001101), we get a palindrome (222221122222).

The spelling of 101100121121 in words is "one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".