2213567503100 has 144 divisors (see below), whose sum is σ = 5002765740000. Its totient is φ = 849110922240.

The previous prime is 2213567503093. The next prime is 2213567503109. The reversal of 2213567503100 is 13057653122.

It is a super-2 number, since 2×2213567503100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213567503109) 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, 554915906 + ... + 554919894.

It is an arithmetic number, because the mean of its divisors is an integer number (34741428750).

Almost surely, 2^{2213567503100} is an apocalyptic number.

2213567503100 is a gapful number since it is divisible by the number (20) 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 2213567503100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501382870000).

2213567503100 is an abundant number, since it is smaller than the sum of its proper divisors (2789198236900).

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

2213567503100 is a wasteful number, since it uses less digits than its factorization.

2213567503100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 2213567503100 in words is "two trillion, two hundred thirteen billion, five hundred sixty-seven million, five hundred three thousand, one hundred".