1002120002280 has 160 divisors (see below), whose sum is σ = 3410873452800. Its totient is φ = 263849249664.

The previous prime is 1002120002269. The next prime is 1002120002281. The reversal of 1002120002280 is 822000212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002120002281) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1701612 + ... + 2213531.

It is an arithmetic number, because the mean of its divisors is an integer number (21317959080).

Almost surely, 2^{1002120002280} is an apocalyptic number.

1002120002280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120002280 is an abundant number, since it is smaller than the sum of its proper divisors (2408753450520).

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

1002120002280 is a wasteful number, since it uses less digits than its factorization.

1002120002280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915245 (or 3915232 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1002120002280 its reverse (822000212001), we get a palindrome (1824120214281).

It can be divided in two parts, 10021 and 20002280, that added together give a triangular number (20012301 = T₆₃₂₆).

The spelling of 1002120002280 in words is "one trillion, two billion, one hundred twenty million, two thousand, two hundred eighty".