10022120201200 has 120 divisors (see below), whose sum is σ = 24520942777968. Its totient is φ = 3935533578240.

The previous prime is 10022120201161. The next prime is 10022120201201. The reversal of 10022120201200 is 210202122001.

It is a happy number.

It is a super-2 number, since 2×10022120201200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022120201201) 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 23 ways as a sum of consecutive naturals, for example, 7214244 + ... + 8490556.

Almost surely, 2^{10022120201200} is an apocalyptic number.

10022120201200 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 10022120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260471388984).

10022120201200 is an abundant number, since it is smaller than the sum of its proper divisors (14498822576768).

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

10022120201200 is a wasteful number, since it uses less digits than its factorization.

10022120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276691 (or 1276680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022120201200 its reverse (210202122001), we get a palindrome (10232322323201).

The spelling of 10022120201200 in words is "ten trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred".