10000511121 has 8 divisors (see below), whose sum is σ = 13334477824. Its totient is φ = 6666775920.

The previous prime is 10000511107. The next prime is 10000511149. The reversal of 10000511121 is 12111500001.

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

It is not a de Polignac number, because 10000511121 - 2⁵ = 10000511089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000511097 and 10000511106.

It is not an unprimeable number, because it can be changed into a prime (10000511921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130731 + ... + 192591.

It is an arithmetic number, because the mean of its divisors is an integer number (1666809728).

Almost surely, 2^10000511121 is an apocalyptic number.

It is an amenable number.

10000511121 is a deficient number, since it is larger than the sum of its proper divisors (3333966703).

10000511121 is an equidigital number, since it uses as much as digits as its factorization.

10000511121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115751.

The product of its (nonzero) digits is 10, while the sum is 12.

The spelling of 10000511121 in words is "ten billion, five hundred eleven thousand, one hundred twenty-one".