1002211022120 has 192 divisors, whose sum is σ = 2833812656640. Its totient is φ = 312254300160.

The previous prime is 1002211022101. The next prime is 1002211022149. The reversal of 1002211022120 is 212201122001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1002211022095 and 1002211022104.

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 47 ways as a sum of consecutive naturals, for example, 126266792 + ... + 126274728.

It is an arithmetic number, because the mean of its divisors is an integer number (14759440920).

Almost surely, 2^{1002211022120} is an apocalyptic number.

1002211022120 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 1002211022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416906328320).

1002211022120 is an abundant number, since it is smaller than the sum of its proper divisors (1831601634520).

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

1002211022120 is a wasteful number, since it uses less digits than its factorization.

1002211022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704 (or 11689 counting only the distinct ones).

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

Adding to 1002211022120 its reverse (212201122001), we get a palindrome (1214412144121).

The spelling of 1002211022120 in words is "one trillion, two billion, two hundred eleven million, twenty-two thousand, one hundred twenty".