10220022122000 has 40 divisors (see below), whose sum is σ = 24712013495832. Its totient is φ = 4088008848000.

The previous prime is 10220022121957. The next prime is 10220022122003. The reversal of 10220022122000 is 22122002201.

It can be written as a sum of positive squares in 4 ways, for example, as 1540405504 + 10218481716496 = 39248^2 + 3196636^2 .

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 (10220022122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555003531 + ... + 2555007530.

Almost surely, 2^{10220022122000} is an apocalyptic number.

10220022122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220022122000 is an abundant number, since it is smaller than the sum of its proper divisors (14491991373832).

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

10220022122000 is an equidigital number, since it uses as much as digits as its factorization.

10220022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110011084 (or 5110011068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220022122000 its reverse (22122002201), we get a palindrome (10242144124201).

The spelling of 10220022122000 in words is "ten trillion, two hundred twenty billion, twenty-two million, one hundred twenty-two thousand".