11202000211121 has 8 divisors (see below), whose sum is σ = 11592179260200. Its totient is φ = 10812081374080.

The previous prime is 11202000211117. The next prime is 11202000211153. The reversal of 11202000211121 is 12111200020211.

It can be written as a sum of positive squares in 4 ways, for example, as 194939910400 + 11007060300721 = 441520^2 + 3317689^2 .

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 11202000211121 - 2² = 11202000211117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11202000211096 and 11202000211105.

It is not an unprimeable number, because it can be changed into a prime (11202000211421) 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, 64965410 + ... + 65137611.

It is an arithmetic number, because the mean of its divisors is an integer number (1449022407525).

Almost surely, 2^{11202000211121} is an apocalyptic number.

It is an amenable number.

11202000211121 is a deficient number, since it is larger than the sum of its proper divisors (390179049079).

11202000211121 is a wasteful number, since it uses less digits than its factorization.

11202000211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130106019.

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

Adding to 11202000211121 its reverse (12111200020211), we get a palindrome (23313200231332).

The spelling of 11202000211121 in words is "eleven trillion, two hundred two billion, two hundred eleven thousand, one hundred twenty-one".