10221201001998 has 128 divisors (see below), whose sum is σ = 26031777408000. Its totient is φ = 2912115127680.

The previous prime is 10221201001997. The next prime is 10221201002029. The reversal of 10221201001998 is 89910010212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221201001997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954444268 + ... + 954454976.

It is an arithmetic number, because the mean of its divisors is an integer number (203373261000).

Almost surely, 2^{10221201001998} is an apocalyptic number.

10221201001998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221201001998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015888704000).

10221201001998 is an abundant number, since it is smaller than the sum of its proper divisors (15810576406002).

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

10221201001998 is a wasteful number, since it uses less digits than its factorization.

10221201001998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10221201001998 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, one thousand, nine hundred ninety-eight".