1002120000220 has 24 divisors (see below), whose sum is σ = 2172337550208. Its totient is φ = 387917419200.

The previous prime is 1002120000181. The next prime is 1002120000221. The reversal of 1002120000220 is 220000212001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002120000197 and 1002120000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120000221) 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 7 ways as a sum of consecutive naturals, for example, 808160671 + ... + 808161910.

It is an arithmetic number, because the mean of its divisors is an integer number (90514064592).

Almost surely, 2^{1002120000220} is an apocalyptic number.

1002120000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120000220 is an abundant number, since it is smaller than the sum of its proper divisors (1170217549988).

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

1002120000220 is a wasteful number, since it uses less digits than its factorization.

1002120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616322621 (or 1616322619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002120000220 its reverse (220000212001), we get a palindrome (1222120212221).

The spelling of 1002120000220 in words is "one trillion, two billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.