11201002121000 has 64 divisors (see below), whose sum is σ = 26361850254480. Its totient is φ = 4454502508800.

The previous prime is 11201002120993. The next prime is 11201002121009. The reversal of 11201002121000 is 12120010211.

It can be written as a sum of positive squares in 8 ways, for example, as 25633931236 + 11175368189764 = 160106^2 + 3342958^2 .

It is not an unprimeable number, because it can be changed into a prime (11201002121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32199839 + ... + 32545838.

Almost surely, 2^{11201002121000} is an apocalyptic number.

11201002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201002121000 is an abundant number, since it is smaller than the sum of its proper divisors (15160848133480).

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

11201002121000 is a wasteful number, since it uses less digits than its factorization.

11201002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64745871 (or 64745857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201002121000 its reverse (12120010211), we get a palindrome (11213122131211).

The spelling of 11201002121000 in words is "eleven trillion, two hundred one billion, two million, one hundred twenty-one thousand".