1002221102120 has 48 divisors (see below), whose sum is σ = 2623160338740. Its totient is φ = 343618662912.

The previous prime is 1002221102111. The next prime is 1002221102123. The reversal of 1002221102120 is 212011222001.

It can be written as a sum of positive squares in 2 ways, for example, as 933615872644 + 68605229476 = 966238^2 + 261926^2 .

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 = 1002221102095 and 1002221102104.

It is not an unprimeable number, because it can be changed into a prime (1002221102123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255666689 + ... + 255670608.

Almost surely, 2^{1002221102120} is an apocalyptic number.

1002221102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002221102120 is an abundant number, since it is smaller than the sum of its proper divisors (1620939236620).

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

1002221102120 is a wasteful number, since it uses less digits than its factorization.

1002221102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511337322 (or 511337311 counting only the distinct ones).

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

Adding to 1002221102120 its reverse (212011222001), we get a palindrome (1214232324121).

The spelling of 1002221102120 in words is "one trillion, two billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".