10010121010011 has 64 divisors (see below), whose sum is σ = 15027005030400. Its totient is φ = 6585304471200.

The previous prime is 10010121009947. The next prime is 10010121010013. The reversal of 10010121010011 is 11001012101001.

It is not a de Polignac number, because 10010121010011 - 2⁶ = 10010121009947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010121009975 and 10010121010002.

It is not an unprimeable number, because it can be changed into a prime (10010121010013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954521410 + ... + 954531896.

It is an arithmetic number, because the mean of its divisors is an integer number (234796953600).

Almost surely, 2^{10010121010011} is an apocalyptic number.

10010121010011 is a deficient number, since it is larger than the sum of its proper divisors (5016884020389).

10010121010011 is a wasteful number, since it uses less digits than its factorization.

10010121010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117 (or 12111 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010121010011 its reverse (11001012101001), we get a palindrome (21011133111012).

The spelling of 10010121010011 in words is "ten trillion, ten billion, one hundred twenty-one million, ten thousand, eleven".