11121202210200 has 96 divisors (see below), whose sum is σ = 34476512476560. Its totient is φ = 2965586342400.

The previous prime is 11121202210141. The next prime is 11121202210231. The reversal of 11121202210200 is 201220212111.

11121202210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121202210200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121202210200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29658282 + ... + 30030918.

Almost surely, 2^{11121202210200} is an apocalyptic number.

11121202210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121202210200 is an abundant number, since it is smaller than the sum of its proper divisors (23355310266360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121202210200 is a wasteful number, since it uses less digits than its factorization.

11121202210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422397 (or 422388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11121202210200 its reverse (201220212111), we get a palindrome (11322422422311).

The spelling of 11121202210200 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, two hundred ten thousand, two hundred".