51105551001100 has 36 divisors (see below), whose sum is σ = 110905425520344. Its totient is φ = 20441044391680.

The previous prime is 51105551001049. The next prime is 51105551001101. The reversal of 51105551001100 is 110015550115.

51105551001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51105551001100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (51105551001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12952114 + ... + 16430713.

It is an arithmetic number, because the mean of its divisors is an integer number (3080706264454).

Almost surely, 2^{51105551001100} is an apocalyptic number.

51105551001100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51105551001100 is an abundant number, since it is smaller than the sum of its proper divisors (59799874519244).

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

51105551001100 is a wasteful number, since it uses less digits than its factorization.

51105551001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29400234 (or 29400227 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 25.

Adding to 51105551001100 its reverse (110015550115), we get a palindrome (51215566551215).

The spelling of 51105551001100 in words is "fifty-one trillion, one hundred five billion, five hundred fifty-one million, one thousand, one hundred".