10005101121 has 16 divisors (see below), whose sum is σ = 13505377536. Its totient is φ = 6587500176.

The previous prime is 10005101087. The next prime is 10005101159. The reversal of 10005101121 is 12110150001.

It is not a de Polignac number, because 10005101121 - 2¹⁹ = 10004576833 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10005101097 and 10005101106.

It is not an unprimeable number, because it can be changed into a prime (10005101521) 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, 1111786 + ... + 1120748.

It is an arithmetic number, because the mean of its divisors is an integer number (844086096).

Almost surely, 2^10005101121 is an apocalyptic number.

It is an amenable number.

10005101121 is a deficient number, since it is larger than the sum of its proper divisors (3500276415).

10005101121 is an equidigital number, since it uses as much as digits as its factorization.

10005101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532.

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

Adding to 10005101121 its reverse (12110150001), we get a palindrome (22115251122).

The spelling of 10005101121 in words is "ten billion, five million, one hundred one thousand, one hundred twenty-one".