10002021212000 has 48 divisors (see below), whose sum is σ = 24574966127712. Its totient is φ = 4000808483200.

The previous prime is 10002021211961. The next prime is 10002021212003. The reversal of 10002021212000 is 21212020001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1250248652 + ... + 1250256651.

It is an arithmetic number, because the mean of its divisors is an integer number (511978460994).

Almost surely, 2^{10002021212000} is an apocalyptic number.

10002021212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002021212000 is an abundant number, since it is smaller than the sum of its proper divisors (14572944915712).

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

10002021212000 is an equidigital number, since it uses as much as digits as its factorization.

10002021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500505328 (or 2500505310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002021212000 its reverse (21212020001), we get a palindrome (10023233232001).

The spelling of 10002021212000 in words is "ten trillion, two billion, twenty-one million, two hundred twelve thousand".