101121001122121 has 2 divisors, whose sum is σ = 101121001122122. Its totient is φ = 101121001122120.

The previous prime is 101121001122091. The next prime is 101121001122137. The reversal of 101121001122121 is 121221100121101.

It is an a-pointer prime, because the next prime (101121001122137) can be obtained adding 101121001122121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69609169790521 + 31511831331600 = 8343211^2 + 5613540^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121001122121 - 2⁷ = 101121001121993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121001122095 and 101121001122104.

It is not a weakly prime, because it can be changed into another prime (101121001122151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560500561060 + 50560500561061.

It is an arithmetic number, because the mean of its divisors is an integer number (50560500561061).

Almost surely, 2^{101121001122121} is an apocalyptic number.

It is an amenable number.

101121001122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121001122121 is an equidigital number, since it uses as much as digits as its factorization.

101121001122121 is an evil number, because the sum of its binary digits is even.

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

Adding to 101121001122121 its reverse (121221100121101), we get a palindrome (222342101243222).

The spelling of 101121001122121 in words is "one hundred one trillion, one hundred twenty-one billion, one million, one hundred twenty-two thousand, one hundred twenty-one".