221101031000 has 128 divisors (see below), whose sum is σ = 552129177600. Its totient is φ = 82581811200.

The previous prime is 221101030939. The next prime is 221101031027. The reversal of 221101031000 is 130101122.

It is a super-2 number, since 2×221101031000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107796 + ... + 2210204.

It is an arithmetic number, because the mean of its divisors is an integer number (4313509200).

Almost surely, 2^221101031000 is an apocalyptic number.

221101031000 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 221101031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276064588800).

221101031000 is an abundant number, since it is smaller than the sum of its proper divisors (331028146600).

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

221101031000 is a wasteful number, since it uses less digits than its factorization.

221101031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102574 (or 102560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 221101031000 its reverse (130101122), we get a palindrome (221231132122).

The spelling of 221101031000 in words is "two hundred twenty-one billion, one hundred one million, thirty-one thousand".