11200002210100 has 72 divisors (see below), whose sum is σ = 26519123979936. Its totient is φ = 4071858000000.

The previous prime is 11200002210049. The next prime is 11200002210121. The reversal of 11200002210100 is 101220000211.

11200002210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4074850 + ... + 6245350.

It is an arithmetic number, because the mean of its divisors is an integer number (368321166388).

Almost surely, 2^{11200002210100} is an apocalyptic number.

11200002210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200002210100 is an abundant number, since it is smaller than the sum of its proper divisors (15319121769836).

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

11200002210100 is a wasteful number, since it uses less digits than its factorization.

11200002210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175217 (or 2175210 counting only the distinct ones).

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

Adding to 11200002210100 its reverse (101220000211), we get a palindrome (11301222210311).

The spelling of 11200002210100 in words is "eleven trillion, two hundred billion, two million, two hundred ten thousand, one hundred".