10013221212000 has 192 divisors, whose sum is σ = 34229544620544. Its totient is φ = 2554096934400.

The previous prime is 10013221211941. The next prime is 10013221212011. The reversal of 10013221212000 is 21212231001.

10013221212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 17863894 + ... + 18415893.

It is an arithmetic number, because the mean of its divisors is an integer number (178278878232).

Almost surely, 2^{10013221212000} is an apocalyptic number.

10013221212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013221212000 is an abundant number, since it is smaller than the sum of its proper divisors (24216323408544).

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

10013221212000 is a wasteful number, since it uses less digits than its factorization.

10013221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36279838 (or 36279820 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10013221212000 its reverse (21212231001), we get a palindrome (10034433443001).

The spelling of 10013221212000 in words is "ten trillion, thirteen billion, two hundred twenty-one million, two hundred twelve thousand".