10002112020000 has 180 divisors, whose sum is σ = 35543005808310. Its totient is φ = 2667229824000.

The previous prime is 10002112019983. The next prime is 10002112020011. The reversal of 10002112020000 is 2021120001.

It can be written as a sum of positive squares in 5 ways, for example, as 604569744 + 10001507450256 = 24588^2 + 3162516^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 27603645 + ... + 27963644.

Almost surely, 2^{10002112020000} is an apocalyptic number.

10002112020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002112020000 is an abundant number, since it is smaller than the sum of its proper divisors (25540893788310).

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

10002112020000 is an equidigital number, since it uses as much as digits as its factorization.

10002112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55567325 (or 55567299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002112020000 its reverse (2021120001), we get a palindrome (10004133140001).

The spelling of 10002112020000 in words is "ten trillion, two billion, one hundred twelve million, twenty thousand".