101121102012061 has 2 divisors, whose sum is σ = 101121102012062. Its totient is φ = 101121102012060.

The previous prime is 101121102012059. The next prime is 101121102012113. The reversal of 101121102012061 is 160210201121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55055954800900 + 46065147211161 = 7419970^2 + 6787131^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121102012061 - 2¹ = 101121102012059 is a prime.

It is a super-3 number, since 3×101121102012061³ (a number of 43 digits) contains 333 as substring.

Together with 101121102012059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121102012361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560551006030 + 50560551006031.

It is an arithmetic number, because the mean of its divisors is an integer number (50560551006031).

Almost surely, 2^{101121102012061} is an apocalyptic number.

It is an amenable number.

101121102012061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121102012061 is an equidigital number, since it uses as much as digits as its factorization.

101121102012061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 101121102012061 its reverse (160210201121101), we get a palindrome (261331303133162).

The spelling of 101121102012061 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, sixty-one".