1002120202000 has 160 divisors (see below), whose sum is σ = 2474298893664. Its totient is φ = 392463360000.

The previous prime is 1002120201997. The next prime is 1002120202021. The reversal of 1002120202000 is 2020212001.

It can be written as a sum of positive squares in 16 ways, for example, as 816283338256 + 185836863744 = 903484^2 + 431088^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19976950 + ... + 20027050.

Almost surely, 2^{1002120202000} is an apocalyptic number.

1002120202000 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 1002120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237149446832).

1002120202000 is an abundant number, since it is smaller than the sum of its proper divisors (1472178691664).

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

1002120202000 is a wasteful number, since it uses less digits than its factorization.

1002120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50334 (or 50318 counting only the distinct ones).

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

Adding to 1002120202000 its reverse (2020212001), we get a palindrome (1004140414001).

The spelling of 1002120202000 in words is "one trillion, two billion, one hundred twenty million, two hundred two thousand".