101000510505061 has 2 divisors, whose sum is σ = 101000510505062. Its totient is φ = 101000510505060.

The previous prime is 101000510505017. The next prime is 101000510505091. The reversal of 101000510505061 is 160505015000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100995083236161 + 5427268900 = 10049631^2 + 73670^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000510505061 - 2²⁷ = 101000376287333 is a prime.

It is a super-2 number, since 2×101000510505061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000510505091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500255252530 + 50500255252531.

It is an arithmetic number, because the mean of its divisors is an integer number (50500255252531).

Almost surely, 2^{101000510505061} is an apocalyptic number.

It is an amenable number.

101000510505061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000510505061 is an equidigital number, since it uses as much as digits as its factorization.

101000510505061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 101000510505061 its reverse (160505015000101), we get a palindrome (261505525505162).

The spelling of 101000510505061 in words is "one hundred one trillion, five hundred ten million, five hundred five thousand, sixty-one".