221121011012 has 72 divisors (see below), whose sum is σ = 448752427200. Its totient is φ = 95000938560.

The previous prime is 221121011003. The next prime is 221121011051. The reversal of 221121011012 is 210110121122.

It is a super-5 number, since 5×221121011012⁵ (a number of 58 digits) contains 55555 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4009658 + ... + 4064430.

It is an arithmetic number, because the mean of its divisors is an integer number (6232672600).

Almost surely, 2^221121011012 is an apocalyptic number.

221121011012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221121011012 is an abundant number, since it is smaller than the sum of its proper divisors (227631416188).

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

221121011012 is a wasteful number, since it uses less digits than its factorization.

221121011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55257 (or 55244 counting only the distinct ones).

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

Adding to 221121011012 its reverse (210110121122), we get a palindrome (431231132134).

It can be divided in two parts, 2211210 and 11012, that added together give a palindrome (2222222).

The spelling of 221121011012 in words is "two hundred twenty-one billion, one hundred twenty-one million, eleven thousand, twelve".