1221002221100 has 72 divisors (see below), whose sum is σ = 2695207495680. Its totient is φ = 479993792320.

The previous prime is 1221002221097. The next prime is 1221002221169. The reversal of 1221002221100 is 11222001221.

It is a super-2 number, since 2×1221002221100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23615477 + ... + 23667123.

It is an arithmetic number, because the mean of its divisors is an integer number (37433437440).

Almost surely, 2^{1221002221100} is an apocalyptic number.

1221002221100 is a gapful number since it is divisible by the number (10) 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 1221002221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347603747840).

1221002221100 is an abundant number, since it is smaller than the sum of its proper divisors (1474205274580).

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

1221002221100 is a wasteful number, since it uses less digits than its factorization.

1221002221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55727 (or 55720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221002221100 its reverse (11222001221), we get a palindrome (1232224222321).

The spelling of 1221002221100 in words is "one trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, one hundred".