11203212102000 has 160 divisors (see below), whose sum is σ = 36169405009920. Its totient is φ = 2983366969600.

The previous prime is 11203212101957. The next prime is 11203212102001. The reversal of 11203212102000 is 20121230211.

It is a super-2 number, since 2×11203212102000² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203212102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3015529 + ... + 5612471.

It is an arithmetic number, because the mean of its divisors is an integer number (226058781312).

Almost surely, 2^{11203212102000} is an apocalyptic number.

11203212102000 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 11203212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084702504960).

11203212102000 is an abundant number, since it is smaller than the sum of its proper divisors (24966192907920).

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

11203212102000 is a wasteful number, since it uses less digits than its factorization.

11203212102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597688 (or 2597672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11203212102000 its reverse (20121230211), we get a palindrome (11223333332211).

The spelling of 11203212102000 in words is "eleven trillion, two hundred three billion, two hundred twelve million, one hundred two thousand".