101040212561 has 2 divisors, whose sum is σ = 101040212562. Its totient is φ = 101040212560.

The previous prime is 101040212527. The next prime is 101040212563. The reversal of 101040212561 is 165212040101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57763315600 + 43276896961 = 240340^2 + 208031^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101040212561 is a prime.

It is a super-3 number, since 3×101040212561³ (a number of 34 digits) contains 333 as substring.

Together with 101040212563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101040212563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520106280 + 50520106281.

It is an arithmetic number, because the mean of its divisors is an integer number (50520106281).

Almost surely, 2^101040212561 is an apocalyptic number.

It is an amenable number.

101040212561 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040212561 is an equidigital number, since it uses as much as digits as its factorization.

101040212561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 101040212561 its reverse (165212040101), we get a palindrome (266252252662).

The spelling of 101040212561 in words is "one hundred one billion, forty million, two hundred twelve thousand, five hundred sixty-one".