101001212112061 has 2 divisors, whose sum is σ = 101001212112062. Its totient is φ = 101001212112060.

The previous prime is 101001212112013. The next prime is 101001212112139. The reversal of 101001212112061 is 160211212100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82454572202500 + 18546639909561 = 9080450^2 + 4306581^2 .

It is an emirp because it is prime and its reverse (160211212100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001212112061 - 2¹⁵ = 101001212079293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001212112001) 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, 50500606056030 + 50500606056031.

It is an arithmetic number, because the mean of its divisors is an integer number (50500606056031).

Almost surely, 2^{101001212112061} is an apocalyptic number.

It is an amenable number.

101001212112061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001212112061 is an equidigital number, since it uses as much as digits as its factorization.

101001212112061 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 101001212112061 its reverse (160211212100101), we get a palindrome (261212424212162).

The spelling of 101001212112061 in words is "one hundred one trillion, one billion, two hundred twelve million, one hundred twelve thousand, sixty-one".