100000051120 has 80 divisors (see below), whose sum is σ = 235490016960. Its totient is φ = 39487078400.

The previous prime is 100000051111. The next prime is 100000051121. The reversal of 100000051120 is 21150000001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100000051120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100000051097 and 100000051106.

It is not an unprimeable number, because it can be changed into a prime (100000051121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4552965 + ... + 4574875.

It is an arithmetic number, because the mean of its divisors is an integer number (2943625212).

Almost surely, 2^100000051120 is an apocalyptic number.

100000051120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117745008480).

100000051120 is an abundant number, since it is smaller than the sum of its proper divisors (135489965840).

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

100000051120 is a wasteful number, since it uses less digits than its factorization.

100000051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654 (or 22648 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 100000051120 its reverse (21150000001), we get a palindrome (121150051121).

The spelling of 100000051120 in words is "one hundred billion, fifty-one thousand, one hundred twenty".