10222121002000 has 40 divisors (see below), whose sum is σ = 24717088587672. Its totient is φ = 4088848400000.

The previous prime is 10222121001943. The next prime is 10222121002007. The reversal of 10222121002000 is 20012122201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 214287519744 + 10007833482256 = 462912^2 + 3163516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10222121002007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555528251 + ... + 2555532250.

Almost surely, 2^{10222121002000} is an apocalyptic number.

10222121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222121002000 is an abundant number, since it is smaller than the sum of its proper divisors (14494967585672).

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

10222121002000 is an equidigital number, since it uses as much as digits as its factorization.

10222121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111060524 (or 5111060508 counting only the distinct ones).

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

Adding to 10222121002000 its reverse (20012122201), we get a palindrome (10242133124201).

The spelling of 10222121002000 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, two thousand".