10011121202011 has 8 divisors (see below), whose sum is σ = 10170610901840. Its totient is φ = 9851927678208.

The previous prime is 10011121201993. The next prime is 10011121202039. The reversal of 10011121202011 is 11020212111001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10011121202011 - 2⁵ = 10011121201979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011121201982 and 10011121202000.

It is not an unprimeable number, because it can be changed into a prime (10011121202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73975866 + ... + 74111071.

It is an arithmetic number, because the mean of its divisors is an integer number (1271326362730).

Almost surely, 2^{10011121202011} is an apocalyptic number.

10011121202011 is a deficient number, since it is larger than the sum of its proper divisors (159489699829).

10011121202011 is a wasteful number, since it uses less digits than its factorization.

10011121202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148088013.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011121202011 its reverse (11020212111001), we get a palindrome (21031333313012).

The spelling of 10011121202011 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred two thousand, eleven".