51101006010100 has 36 divisors (see below), whose sum is σ = 111906515020300. Its totient is φ = 20252875772160.

The previous prime is 51101006010059. The next prime is 51101006010133. The reversal of 51101006010100 is 101060010115.

It can be written as a sum of positive squares in 6 ways, for example, as 5760633617424 + 45340372392676 = 2400132^2 + 6733526^2 .

It is a super-2 number, since 2×51101006010100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2344071945 + ... + 2344093744.

Almost surely, 2^{51101006010100} is an apocalyptic number.

51101006010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51101006010100 is an abundant number, since it is smaller than the sum of its proper divisors (60805509010200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51101006010100 is a wasteful number, since it uses less digits than its factorization.

51101006010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688165812 (or 4688165805 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 51101006010100 its reverse (101060010115), we get a palindrome (51202066020215).

The spelling of 51101006010100 in words is "fifty-one trillion, one hundred one billion, six million, ten thousand, one hundred".