11200101100000 has 72 divisors (see below), whose sum is σ = 27560985030936. Its totient is φ = 4480040400000.

The previous prime is 11200101099931. The next prime is 11200101100003. The reversal of 11200101100000 is 110100211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200101100003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55900506 + ... + 56100505.

It is an arithmetic number, because the mean of its divisors is an integer number (382791458763).

Almost surely, 2^{11200101100000} is an apocalyptic number.

11200101100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200101100000 is an abundant number, since it is smaller than the sum of its proper divisors (16360883930936).

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

11200101100000 is an frugal number, since it uses more digits than its factorization.

11200101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112001046 (or 112001018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11200101100000 its reverse (110100211), we get a palindrome (11200211200211).

The spelling of 11200101100000 in words is "eleven trillion, two hundred billion, one hundred one million, one hundred thousand".