122201021002000 has 40 divisors (see below), whose sum is σ = 295482068787672. Its totient is φ = 48880408400000.

The previous prime is 122201021001979. The next prime is 122201021002031. The reversal of 122201021002000 is 200120102221.

It is a happy number.

122201021002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27741204728064 + 94459816273936 = 5266992^2 + 9719044^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30550253251 + ... + 30550257250.

Almost surely, 2^{122201021002000} is an apocalyptic number.

122201021002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201021002000 is an abundant number, since it is smaller than the sum of its proper divisors (173281047785672).

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

122201021002000 is an equidigital number, since it uses as much as digits as its factorization.

122201021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61100510524 (or 61100510508 counting only the distinct ones).

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

Adding to 122201021002000 its reverse (200120102221), we get a palindrome (122401141104221).

The spelling of 122201021002000 in words is "one hundred twenty-two trillion, two hundred one billion, twenty-one million, two thousand".