221100211121000 has 64 divisors (see below), whose sum is σ = 517421669478480. Its totient is φ = 88432020268800.

The previous prime is 221100211120951. The next prime is 221100211121021. The reversal of 221100211121000 is 121112001122.

221100211121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 64147572971524 + 156952638149476 = 8009218^2 + 12528074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898262 + ... + 21047738.

Almost surely, 2^{221100211121000} is an apocalyptic number.

221100211121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100211121000 is an abundant number, since it is smaller than the sum of its proper divisors (296321458357480).

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

221100211121000 is a wasteful number, since it uses less digits than its factorization.

221100211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20160471 (or 20160457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221100211121000 its reverse (121112001122), we get a palindrome (221221323122122).

The spelling of 221100211121000 in words is "two hundred twenty-one trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand".