10222021101200 has 30 divisors (see below), whose sum is σ = 24558405696594. Its totient is φ = 4088808440320.

The previous prime is 10222021101197. The next prime is 10222021101203. The reversal of 10222021101200 is 210112022201.

It is an interprime number because it is at equal distance from previous prime (10222021101197) and next prime (10222021101203).

It can be written as a sum of positive squares in 3 ways, for example, as 2334820672144 + 7887200429056 = 1528012^2 + 2808416^2 .

It is not an unprimeable number, because it can be changed into a prime (10222021101203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12777525977 + ... + 12777526776.

Almost surely, 2^{10222021101200} is an apocalyptic number.

10222021101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222021101200 is an abundant number, since it is smaller than the sum of its proper divisors (14336384595394).

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

10222021101200 is a wasteful number, since it uses less digits than its factorization.

10222021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25555052771 (or 25555052760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222021101200 its reverse (210112022201), we get a palindrome (10432133123401).

The spelling of 10222021101200 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, one hundred one thousand, two hundred".