11202120102000 has 160 divisors (see below), whose sum is σ = 36521430603840. Its totient is φ = 2953667481600.

The previous prime is 11202120101999. The next prime is 11202120102023. The reversal of 11202120102000 is 20102120211.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9954877 + ... + 11022876.

It is an arithmetic number, because the mean of its divisors is an integer number (228258941274).

Almost surely, 2^{11202120102000} is an apocalyptic number.

11202120102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202120102000 is an abundant number, since it is smaller than the sum of its proper divisors (25319310501840).

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

11202120102000 is a wasteful number, since it uses less digits than its factorization.

11202120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20977868 (or 20977852 counting only the distinct ones).

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

Adding to 11202120102000 its reverse (20102120211), we get a palindrome (11222222222211).

The spelling of 11202120102000 in words is "eleven trillion, two hundred two billion, one hundred twenty million, one hundred two thousand".