11211202102000 has 80 divisors (see below), whose sum is σ = 27114758053344. Its totient is φ = 4483476480000.

The previous prime is 11211202101977. The next prime is 11211202102031. The reversal of 11211202102000 is 20120211211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8336515 + ... + 9587485.

Almost surely, 2^{11211202102000} is an apocalyptic number.

11211202102000 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 11211202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557379026672).

11211202102000 is an abundant number, since it is smaller than the sum of its proper divisors (15903555951344).

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

11211202102000 is a wasteful number, since it uses less digits than its factorization.

11211202102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255475 (or 1255459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11211202102000 its reverse (20120211211), we get a palindrome (11231322313211).

The spelling of 11211202102000 in words is "eleven trillion, two hundred eleven billion, two hundred two million, one hundred two thousand".