1002122221120 has 56 divisors (see below), whose sum is σ = 2407421356344. Its totient is φ = 397301538816.

The previous prime is 1002122221081. The next prime is 1002122221123. The reversal of 1002122221120 is 211222212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91731448384 + 910390772736 = 302872^2 + 954144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1002122221094 and 1002122221103.

It is not an unprimeable number, because it can be changed into a prime (1002122221123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13820619 + ... + 13892938.

Almost surely, 2^{1002122221120} is an apocalyptic number.

1002122221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122221120 is an abundant number, since it is smaller than the sum of its proper divisors (1405299135224).

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

1002122221120 is a wasteful number, since it uses less digits than its factorization.

1002122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713687 (or 27713677 counting only the distinct ones).

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

Adding to 1002122221120 its reverse (211222212001), we get a palindrome (1213344433121).

The spelling of 1002122221120 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".