221100110002000 has 40 divisors (see below), whose sum is σ = 534620065989672. Its totient is φ = 88440044000000.

The previous prime is 221100110001997. The next prime is 221100110002069. The reversal of 221100110002000 is 200011001122.

It can be written as a sum of positive squares in 4 ways, for example, as 51256034686224 + 169844075315776 = 7159332^2 + 13032424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 55275025501 + ... + 55275029500.

Almost surely, 2^{221100110002000} is an apocalyptic number.

221100110002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100110002000 is an abundant number, since it is smaller than the sum of its proper divisors (313519955987672).

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

221100110002000 is a wasteful number, since it uses less digits than its factorization.

221100110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110550055024 (or 110550055008 counting only the distinct ones).

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

Adding to 221100110002000 its reverse (200011001122), we get a palindrome (221300121003122).

The spelling of 221100110002000 in words is "two hundred twenty-one trillion, one hundred billion, one hundred ten million, two thousand".