10001120122111 has 16 divisors (see below), whose sum is σ = 10985360947200. Its totient is φ = 9062677074528.

The previous prime is 10001120122109. The next prime is 10001120122211. The reversal of 10001120122111 is 11122102110001.

It is a happy number.

10001120122111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10001120122111 - 2¹ = 10001120122109 is a prime.

It is a super-3 number, since 3×10001120122111³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001120122091 and 10001120122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120122211) 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, 52707570 + ... + 52896976.

It is an arithmetic number, because the mean of its divisors is an integer number (686585059200).

Almost surely, 2^{10001120122111} is an apocalyptic number.

10001120122111 is a deficient number, since it is larger than the sum of its proper divisors (984240825089).

10001120122111 is a wasteful number, since it uses less digits than its factorization.

10001120122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310278.

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

Adding to 10001120122111 its reverse (11122102110001), we get a palindrome (21123222232112).

The spelling of 10001120122111 in words is "ten trillion, one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred eleven".