11000102201121 has 32 divisors (see below), whose sum is σ = 16098745614336. Its totient is φ = 6625761800000.

The previous prime is 11000102201119. The next prime is 11000102201131. The reversal of 11000102201121 is 12110220100011.

It is a cyclic number.

It is not a de Polignac number, because 11000102201121 - 2¹ = 11000102201119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000102201097 and 11000102201106.

It is not an unprimeable number, because it can be changed into a prime (11000102201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2378080 + ... + 5258846.

It is an arithmetic number, because the mean of its divisors is an integer number (503085800448).

Almost surely, 2^{11000102201121} is an apocalyptic number.

11000102201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000102201121 is a deficient number, since it is larger than the sum of its proper divisors (5098643413215).

11000102201121 is a wasteful number, since it uses less digits than its factorization.

11000102201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881493.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000102201121 its reverse (12110220100011), we get a palindrome (23110322301132).

The spelling of 11000102201121 in words is "eleven trillion, one hundred two million, two hundred one thousand, one hundred twenty-one".