11201021202000 has 320 divisors, whose sum is σ = 41852254998528. Its totient is φ = 2524173120000.

The previous prime is 11201021201941. The next prime is 11201021202031. The reversal of 11201021202000 is 20212010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1103895 + ... + 4860105.

Almost surely, 2^{11201021202000} is an apocalyptic number.

11201021202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201021202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20926127499264).

11201021202000 is an abundant number, since it is smaller than the sum of its proper divisors (30651233796528).

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

11201021202000 is a wasteful number, since it uses less digits than its factorization.

11201021202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756315 (or 3756299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11201021202000 its reverse (20212010211), we get a palindrome (11221233212211).

The spelling of 11201021202000 in words is "eleven trillion, two hundred one billion, twenty-one million, two hundred two thousand".