101200113121 has 2 divisors, whose sum is σ = 101200113122. Its totient is φ = 101200113120.

The previous prime is 101200113073. The next prime is 101200113139. The reversal of 101200113121 is 121311002101.

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., 73962241600 + 27237871521 = 271960^2 + 165039^2 .

It is an emirp because it is prime and its reverse (121311002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101200113121 - 2⁹ = 101200112609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101200114121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600056560 + 50600056561.

It is an arithmetic number, because the mean of its divisors is an integer number (50600056561).

Almost surely, 2^101200113121 is an apocalyptic number.

It is an amenable number.

101200113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200113121 is an equidigital number, since it uses as much as digits as its factorization.

101200113121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101200113121 its reverse (121311002101), we get a palindrome (222511115222).

The spelling of 101200113121 in words is "one hundred one billion, two hundred million, one hundred thirteen thousand, one hundred twenty-one".