211220102221000 has 64 divisors (see below), whose sum is σ = 494443620318960. Its totient is φ = 84455804800000.

The previous prime is 211220102220997. The next prime is 211220102221043. The reversal of 211220102221000 is 122201022112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40304798143236 + 170915304077764 = 6348606^2 + 13073458^2 .

It is a super-2 number, since 2×211220102221000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37672801 + ... + 42914800.

Almost surely, 2^{211220102221000} is an apocalyptic number.

211220102221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220102221000 is an abundant number, since it is smaller than the sum of its proper divisors (283223518097960).

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

211220102221000 is a wasteful number, since it uses less digits than its factorization.

211220102221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80590243 (or 80590229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220102221000 its reverse (122201022112), we get a palindrome (211342303243112).

The spelling of 211220102221000 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty-one thousand".