1002120202020 has 96 divisors (see below), whose sum is σ = 3267290089728. Its totient is φ = 224734228992.

The previous prime is 1002120201997. The next prime is 1002120202021. The reversal of 1002120202020 is 202020212001.

It is a super-2 number, since 2×1002120202020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002120201987 and 1002120202005.

It is not an unprimeable number, because it can be changed into a prime (1002120202021) 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 31 ways as a sum of consecutive naturals, for example, 22487179 + ... + 22531698.

It is an arithmetic number, because the mean of its divisors is an integer number (34034271768).

Almost surely, 2^{1002120202020} is an apocalyptic number.

1002120202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120202020 is an abundant number, since it is smaller than the sum of its proper divisors (2265169887708).

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

1002120202020 is a wasteful number, since it uses less digits than its factorization.

1002120202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45018949 (or 45018947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002120202020 its reverse (202020212001), we get a palindrome (1204140414021).

The spelling of 1002120202020 in words is "one trillion, two billion, one hundred twenty million, two hundred two thousand, twenty".