61110106000101 has 64 divisors (see below), whose sum is σ = 96642150589440. Its totient is φ = 38031384867840.

The previous prime is 61110106000057. The next prime is 61110106000211. The reversal of 61110106000101 is 10100060101116.

61110106000101 is a `hidden beast` number, since 61 + 1 + 1 + 0 + 1 + 0 + 600 + 0 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 61110106000101 - 2¹⁰ = 61110105999077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61110106005101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32516356 + ... + 34344338.

It is an arithmetic number, because the mean of its divisors is an integer number (1510033602960).

Almost surely, 2^{61110106000101} is an apocalyptic number.

It is an amenable number.

61110106000101 is a deficient number, since it is larger than the sum of its proper divisors (35532044589339).

61110106000101 is a wasteful number, since it uses less digits than its factorization.

61110106000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828603 (or 1828597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 61110106000101 its reverse (10100060101116), we get a palindrome (71210166101217).

The spelling of 61110106000101 in words is "sixty-one trillion, one hundred ten billion, one hundred six million, one hundred one", and thus it is an aban number.