100101120010 has 8 divisors (see below), whose sum is σ = 180182016036. Its totient is φ = 40040448000.

The previous prime is 100101119969. The next prime is 100101120047. The reversal of 100101120010 is 10021101001.

100101120010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 94400719009 + 5700401001 = 307247^2 + 75501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 100101119975 and 100101120002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005055991 + ... + 5005056010.

Almost surely, 2^100101120010 is an apocalyptic number.

100101120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101120010 is a deficient number, since it is larger than the sum of its proper divisors (80080896026).

100101120010 is a wasteful number, since it uses less digits than its factorization.

100101120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010112008.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101120010 its reverse (10021101001), we get a palindrome (110122221011).

The spelling of 100101120010 in words is "one hundred billion, one hundred one million, one hundred twenty thousand, ten".