101012082121 has 2 divisors, whose sum is σ = 101012082122. Its totient is φ = 101012082120.

The previous prime is 101012082107. The next prime is 101012082187. The reversal of 101012082121 is 121280210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93966158521 + 7045923600 = 306539^2 + 83940^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012082121 - 2⁷ = 101012081993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012082191) 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, 50506041060 + 50506041061.

It is an arithmetic number, because the mean of its divisors is an integer number (50506041061).

Almost surely, 2^101012082121 is an apocalyptic number.

It is an amenable number.

101012082121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012082121 is an equidigital number, since it uses as much as digits as its factorization.

101012082121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101012082121 its reverse (121280210101), we get a palindrome (222292292222).

The spelling of 101012082121 in words is "one hundred one billion, twelve million, eighty-two thousand, one hundred twenty-one".