122221103201000 has 128 divisors (see below), whose sum is σ = 286894245980160. Its totient is φ = 48735369760000.

The previous prime is 122221103200991. The next prime is 122221103201023. The reversal of 122221103201000 is 102301122221.

It is a self number, because there is not a number n which added to its sum of digits gives 122221103201000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411338489 + ... + 411635511.

It is an arithmetic number, because the mean of its divisors is an integer number (2241361296720).

Almost surely, 2^{122221103201000} is an apocalyptic number.

122221103201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221103201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143447122990080).

122221103201000 is an abundant number, since it is smaller than the sum of its proper divisors (164673142779160).

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

122221103201000 is a wasteful number, since it uses less digits than its factorization.

122221103201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298332 (or 298318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122221103201000 its reverse (102301122221), we get a palindrome (122323404323221).

The spelling of 122221103201000 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred three million, two hundred one thousand".