51011116101 has 24 divisors (see below), whose sum is σ = 80667250560. Its totient is φ = 30805790400.

The previous prime is 51011116073. The next prime is 51011116103. The reversal of 51011116101 is 10161111015.

It is a happy number.

51011116101 is a `hidden beast` number, since 51 + 0 + 1 + 1 + 1 + 1 + 610 + 1 = 666.

It is not a de Polignac number, because 51011116101 - 2⁵ = 51011116069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51011116103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889021 + ... + 944658.

It is an arithmetic number, because the mean of its divisors is an integer number (3361135440).

Almost surely, 2^51011116101 is an apocalyptic number.

It is an amenable number.

51011116101 is a deficient number, since it is larger than the sum of its proper divisors (29656134459).

51011116101 is a wasteful number, since it uses less digits than its factorization.

51011116101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833977 (or 1833974 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 51011116101 its reverse (10161111015), we get a palindrome (61172227116).

The spelling of 51011116101 in words is "fifty-one billion, eleven million, one hundred sixteen thousand, one hundred one".