101012120301121 has 2 divisors, whose sum is σ = 101012120301122. Its totient is φ = 101012120301120.

The previous prime is 101012120301107. The next prime is 101012120301139. The reversal of 101012120301121 is 121103021210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54739814660496 + 46272305640625 = 7398636^2 + 6802375^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012120301121 - 2⁴¹ = 98813097045569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012120301095 and 101012120301104.

It is not a weakly prime, because it can be changed into another prime (101012120307121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506060150560 + 50506060150561.

It is an arithmetic number, because the mean of its divisors is an integer number (50506060150561).

Almost surely, 2^{101012120301121} is an apocalyptic number.

It is an amenable number.

101012120301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012120301121 is an equidigital number, since it uses as much as digits as its factorization.

101012120301121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101012120301121 its reverse (121103021210101), we get a palindrome (222115141511222).

The spelling of 101012120301121 in words is "one hundred one trillion, twelve billion, one hundred twenty million, three hundred one thousand, one hundred twenty-one".