11201012201000 has 64 divisors (see below), whose sum is σ = 26211131977680. Its totient is φ = 4480274380800.

The previous prime is 11201012200969. The next prime is 11201012201021. The reversal of 11201012201000 is 10221010211.

11201012201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 659678586436 + 10541333614564 = 812206^2 + 3246742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38849372 + ... + 39136628.

Almost surely, 2^{11201012201000} is an apocalyptic number.

11201012201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201012201000 is an abundant number, since it is smaller than the sum of its proper divisors (15010119776680).

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

11201012201000 is a wasteful number, since it uses less digits than its factorization.

11201012201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326271 (or 326257 counting only the distinct ones).

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

Adding to 11201012201000 its reverse (10221010211), we get a palindrome (11211233211211).

The spelling of 11201012201000 in words is "eleven trillion, two hundred one billion, twelve million, two hundred one thousand".