10002120213020 has 96 divisors (see below), whose sum is σ = 23249331322560. Its totient is φ = 3591732418560.

The previous prime is 10002120212927. The next prime is 10002120213091. The reversal of 10002120213020 is 2031202120001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10002120212986 and 10002120213004.

It is a congruent number.

It is an unprimeable number.

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, 2131442 + ... + 4954521.

It is an arithmetic number, because the mean of its divisors is an integer number (242180534610).

Almost surely, 2^{10002120213020} is an apocalyptic number.

10002120213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120213020 is an abundant number, since it is smaller than the sum of its proper divisors (13247211109540).

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

10002120213020 is a wasteful number, since it uses less digits than its factorization.

10002120213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086135 (or 7086133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10002120213020 its reverse (2031202120001), we get a palindrome (12033322333021).

The spelling of 10002120213020 in words is "ten trillion, two billion, one hundred twenty million, two hundred thirteen thousand, twenty".