10011200122111 has 8 divisors (see below), whose sum is σ = 10040935593600. Its totient is φ = 9981469736088.

The previous prime is 10011200122109. The next prime is 10011200122117. The reversal of 10011200122111 is 11122100211001.

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 10011200122111 - 2¹ = 10011200122109 is a prime.

It is a super-2 number, since 2×10011200122111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011200122091 and 10011200122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011200122117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2689960 + ... + 5220946.

It is an arithmetic number, because the mean of its divisors is an integer number (1255116949200).

Almost surely, 2^{10011200122111} is an apocalyptic number.

10011200122111 is a deficient number, since it is larger than the sum of its proper divisors (29735471489).

10011200122111 is a wasteful number, since it uses less digits than its factorization.

10011200122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542733.

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

Adding to 10011200122111 its reverse (11122100211001), we get a palindrome (21133300333112).

The spelling of 10011200122111 in words is "ten trillion, eleven billion, two hundred million, one hundred twenty-two thousand, one hundred eleven".