11200101202000 has 80 divisors (see below), whose sum is σ = 27102383193600. Its totient is φ = 4476642883200.

The previous prime is 11200101201979. The next prime is 11200101202051. The reversal of 11200101202000 is 20210100211.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 515161 + ... + 4760839.

It is an arithmetic number, because the mean of its divisors is an integer number (338779789920).

Almost surely, 2^{11200101202000} is an apocalyptic number.

11200101202000 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 11200101202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551191596800).

11200101202000 is an abundant number, since it is smaller than the sum of its proper divisors (15902281991600).

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

11200101202000 is a wasteful number, since it uses less digits than its factorization.

11200101202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247021 (or 4247005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200101202000 its reverse (20210100211), we get a palindrome (11220311302211).

The spelling of 11200101202000 in words is "eleven trillion, two hundred billion, one hundred one million, two hundred two thousand".