11001112122121 has 24 divisors (see below), whose sum is σ = 12213331445952. Its totient is φ = 9900830940000.

The previous prime is 11001112122113. The next prime is 11001112122167. The reversal of 11001112122121 is 12122121110011.

It is not a de Polignac number, because 11001112122121 - 2³ = 11001112122113 is a prime.

It is a super-2 number, since 2×11001112122121² (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 = 11001112122095 and 11001112122104.

It is not an unprimeable number, because it can be changed into a prime (11001112132121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40381455 + ... + 40652971.

It is an arithmetic number, because the mean of its divisors is an integer number (508888810248).

Almost surely, 2^{11001112122121} is an apocalyptic number.

11001112122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001112122121 is a deficient number, since it is larger than the sum of its proper divisors (1212219323831).

11001112122121 is a wasteful number, since it uses less digits than its factorization.

11001112122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274893 (or 274882 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11001112122121 its reverse (12122121110011), we get a palindrome (23123233232132).

It can be divided in two parts, 110011 and 12122121, that multiplied together give a palindrome (1333566653331).

The spelling of 11001112122121 in words is "eleven trillion, one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".