221110220011000 has 64 divisors (see below), whose sum is σ = 518880431160000. Its totient is φ = 88190666409600.

The previous prime is 221110220010991. The next prime is 221110220011007. The reversal of 221110220011000 is 110022011122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110220011007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316427820 + ... + 317125819.

It is an arithmetic number, because the mean of its divisors is an integer number (8107506736875).

Almost surely, 2^{221110220011000} is an apocalyptic number.

221110220011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110220011000 is an abundant number, since it is smaller than the sum of its proper divisors (297770211149000).

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

221110220011000 is a wasteful number, since it uses less digits than its factorization.

221110220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633554009 (or 633553995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221110220011000 its reverse (110022011122), we get a palindrome (221220242022122).

The spelling of 221110220011000 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred twenty million, eleven thousand".