122201022101000 has 32 divisors (see below), whose sum is σ = 285950391718680. Its totient is φ = 48880408840000.

The previous prime is 122201022100991. The next prime is 122201022101027. The reversal of 122201022101000 is 101220102221.

It can be written as a sum of positive squares in 4 ways, for example, as 36179960340484 + 86021061760516 = 6014978^2 + 9274754^2 .

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, 61100510051 + ... + 61100512050.

Almost surely, 2^{122201022101000} is an apocalyptic number.

122201022101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201022101000 is an abundant number, since it is smaller than the sum of its proper divisors (163749369617680).

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

122201022101000 is a wasteful number, since it uses less digits than its factorization.

122201022101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122201022122 (or 122201022108 counting only the distinct ones).

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

Adding to 122201022101000 its reverse (101220102221), we get a palindrome (122302242203221).

The spelling of 122201022101000 in words is "one hundred twenty-two trillion, two hundred one billion, twenty-two million, one hundred one thousand".