211221221011000 has 64 divisors (see below), whose sum is σ = 520271218116000. Its totient is φ = 80041725849600.

The previous prime is 211221221010971. The next prime is 211221221011069. The reversal of 211221221011000 is 110122122112.

It is a super-2 number, since 2×211221221011000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 5558434185 + ... + 5558472184.

Almost surely, 2^{211221221011000} is an apocalyptic number.

211221221011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221221011000 is an abundant number, since it is smaller than the sum of its proper divisors (309049997105000).

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

211221221011000 is a wasteful number, since it uses less digits than its factorization.

211221221011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116906409 (or 11116906395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221221011000 its reverse (110122122112), we get a palindrome (211331343133112).

It can be divided in two parts, 21122122 and 1011000, that added together give a palindrome (22133122).

The spelling of 211221221011000 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, eleven thousand".