10000121011011 has 6 divisors (see below), whose sum is σ = 14444619238140. Its totient is φ = 6666747340668.

The previous prime is 10000121010961. The next prime is 10000121011169. The reversal of 10000121011011 is 11011012100001.

It is not a de Polignac number, because 10000121011011 - 2⁹ = 10000121010499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111124556779 = 10000121011011 / (1 + 0 + 0 + 0 + 0 + 1 + 2 + 1 + 0 + 1 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10000121010984 and 10000121011002.

It is not an unprimeable number, because it can be changed into a prime (10000121015011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 555562278381 + ... + 555562278398.

It is an arithmetic number, because the mean of its divisors is an integer number (2407436539690).

Almost surely, 2^{10000121011011} is an apocalyptic number.

10000121011011 is a deficient number, since it is larger than the sum of its proper divisors (4444498227129).

10000121011011 is a wasteful number, since it uses less digits than its factorization.

10000121011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111124556785 (or 1111124556782 counting only the distinct ones).

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

Adding to 10000121011011 its reverse (11011012100001), we get a palindrome (21011133111012).

The spelling of 10000121011011 in words is "ten trillion, one hundred twenty-one million, eleven thousand, eleven".