11000012221121 has 12 divisors (see below), whose sum is σ = 13959199182960. Its totient is φ = 8571438093960.

The previous prime is 11000012221043. The next prime is 11000012221153. The reversal of 11000012221121 is 12112221000011.

It is not a de Polignac number, because 11000012221121 - 2¹⁴ = 11000012204737 is a prime.

It is a super-2 number, since 2×11000012221121² (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 = 11000012221096 and 11000012221105.

It is not an unprimeable number, because it can be changed into a prime (11000012221181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10204092431 + ... + 10204093508.

It is an arithmetic number, because the mean of its divisors is an integer number (1163266598580).

Almost surely, 2^{11000012221121} is an apocalyptic number.

11000012221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000012221121 is a deficient number, since it is larger than the sum of its proper divisors (2959186961839).

11000012221121 is a wasteful number, since it uses less digits than its factorization.

11000012221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20408185964 (or 20408185957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11000012221121 its reverse (12112221000011), we get a palindrome (23112233221132).

The spelling of 11000012221121 in words is "eleven trillion, twelve million, two hundred twenty-one thousand, one hundred twenty-one".