1002221211120 has 320 divisors, whose sum is σ = 3251415479424. Its totient is φ = 255122472960.

The previous prime is 1002221211119. The next prime is 1002221211127. The reversal of 1002221211120 is 211121222001.

It is a super-2 number, since 2×1002221211120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002221211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002221211127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234545304 + ... + 234549576.

Almost surely, 2^{1002221211120} is an apocalyptic number.

1002221211120 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 1002221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625707739712).

1002221211120 is an abundant number, since it is smaller than the sum of its proper divisors (2249194268304).

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

1002221211120 is a wasteful number, since it uses less digits than its factorization.

1002221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002221211120 its reverse (211121222001), we get a palindrome (1213342433121).

It can be divided in two parts, 1002 and 221211120, that added together give a palindrome (221212122).

The spelling of 1002221211120 in words is "one trillion, two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".