101005561100511 has 12 divisors (see below), whose sum is σ = 145923736018320. Its totient is φ = 67324664843520.

The previous prime is 101005561100497. The next prime is 101005561100513. The reversal of 101005561100511 is 115001165500101.

101005561100511 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 556 + 1 + 100 + 5 + 1 + 1 = 666.

It is not a de Polignac number, because 101005561100511 - 2⁹ = 101005561099999 is a prime.

It is a super-2 number, since 2×101005561100511² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005561100513) 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 in 11 ways as a sum of consecutive naturals, for example, 1031272491 + ... + 1031370428.

It is an arithmetic number, because the mean of its divisors is an integer number (12160311334860).

Almost surely, 2^{101005561100511} is an apocalyptic number.

101005561100511 is a deficient number, since it is larger than the sum of its proper divisors (44918174917809).

101005561100511 is a wasteful number, since it uses less digits than its factorization.

101005561100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062648366 (or 2062648363 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 101005561100511 in words is "one hundred one trillion, five billion, five hundred sixty-one million, one hundred thousand, five hundred eleven".