11200101220 has 144 divisors (see below), whose sum is σ = 29812616064. Its totient is φ = 3459456000.

The previous prime is 11200101203. The next prime is 11200101221. The reversal of 11200101220 is 2210100211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200101197 and 11200101206.

It is not an unprimeable number, because it can be changed into a prime (11200101221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911295 + ... + 1917145.

It is an arithmetic number, because the mean of its divisors is an integer number (207032056).

Almost surely, 2^11200101220 is an apocalyptic number.

11200101220 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 11200101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906308032).

11200101220 is an abundant number, since it is smaller than the sum of its proper divisors (18612514844).

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

11200101220 is a wasteful number, since it uses less digits than its factorization.

11200101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5989 counting only the distinct ones).

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

Adding to 11200101220 its reverse (2210100211), we get a palindrome (13410201431).

The spelling of 11200101220 in words is "eleven billion, two hundred million, one hundred one thousand, two hundred twenty".