10021021201200 has 120 divisors (see below), whose sum is σ = 32113128110400. Its totient is φ = 2671235329280.

The previous prime is 10021021201199. The next prime is 10021021201223. The reversal of 10021021201200 is 210212012001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475791 + ... + 4713809.

It is an arithmetic number, because the mean of its divisors is an integer number (267609400920).

Almost surely, 2^{10021021201200} is an apocalyptic number.

10021021201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021021201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056564055200).

10021021201200 is an abundant number, since it is smaller than the sum of its proper divisors (22092106909200).

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

10021021201200 is a wasteful number, since it uses less digits than its factorization.

10021021201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240619 (or 3240608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021021201200 its reverse (210212012001), we get a palindrome (10231233213201).

The spelling of 10021021201200 in words is "ten trillion, twenty-one billion, twenty-one million, two hundred one thousand, two hundred".