101210001121 has 2 divisors, whose sum is σ = 101210001122. Its totient is φ = 101210001120.

The previous prime is 101210001107. The next prime is 101210001149. The reversal of 101210001121 is 121100012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100666598400 + 543402721 = 317280^2 + 23311^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210001121 - 2⁵ = 101210001089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210001098 and 101210001107.

It is not a weakly prime, because it can be changed into another prime (101210001821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605000560 + 50605000561.

It is an arithmetic number, because the mean of its divisors is an integer number (50605000561).

Almost surely, 2^101210001121 is an apocalyptic number.

It is an amenable number.

101210001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210001121 is an equidigital number, since it uses as much as digits as its factorization.

101210001121 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 10.

Adding to 101210001121 its reverse (121100012101), we get a palindrome (222310013222).

The spelling of 101210001121 in words is "one hundred one billion, two hundred ten million, one thousand, one hundred twenty-one".