221010022011200 has 84 divisors (see below), whose sum is σ = 543841335606492. Its totient is φ = 88400993280000.

The previous prime is 221010022011197. The next prime is 221010022011253. The reversal of 221010022011200 is 2110220010122.

It can be written as a sum of positive squares in 6 ways, for example, as 16907425554496 + 204102596456704 = 4111864^2 + 14286448^2 .

It is a super-2 number, since 2×221010022011200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44860472 + ... + 49542728.

It is an arithmetic number, because the mean of its divisors is an integer number (6474301614363).

Almost surely, 2^{221010022011200} is an apocalyptic number.

221010022011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010022011200 is an abundant number, since it is smaller than the sum of its proper divisors (322831313595292).

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

221010022011200 is a wasteful number, since it uses less digits than its factorization.

221010022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711780 (or 4711765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221010022011200 its reverse (2110220010122), we get a palindrome (223120242021322).

The spelling of 221010022011200 in words is "two hundred twenty-one trillion, ten billion, twenty-two million, eleven thousand, two hundred".