221011011012 has 96 divisors (see below), whose sum is σ = 582104936448. Its totient is φ = 64658160000.

The previous prime is 221011010971. The next prime is 221011011059. The reversal of 221011011012 is 210110110122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1658587 + ... + 1786877.

It is an arithmetic number, because the mean of its divisors is an integer number (6063593088).

Almost surely, 2^221011011012 is an apocalyptic number.

221011011012 is a gapful number since it is divisible by the number (22) 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 221011011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291052468224).

221011011012 is an abundant number, since it is smaller than the sum of its proper divisors (361093925436).

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

221011011012 is a wasteful number, since it uses less digits than its factorization.

221011011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128761 (or 128759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221011011012 its reverse (210110110122), we get a palindrome (431121121134).

It can be divided in two parts, 2210110110 and 12, that added together give a palindrome (2210110122).

The spelling of 221011011012 in words is "two hundred twenty-one billion, eleven million, eleven thousand, twelve".