220102102122000 has 640 divisors, whose sum is σ = 846361180274688. Its totient is φ = 48114925056000.

The previous prime is 220102102121911. The next prime is 220102102122037. The reversal of 220102102122000 is 221201201022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10246351260 + ... + 10246372740.

Almost surely, 2^{220102102122000} is an apocalyptic number.

220102102122000 is a gapful number since it is divisible by the number (20) 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 220102102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423180590137344).

220102102122000 is an abundant number, since it is smaller than the sum of its proper divisors (626259078152688).

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

220102102122000 is a wasteful number, since it uses less digits than its factorization.

220102102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32144 (or 32128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220102102122000 its reverse (221201201022), we get a palindrome (220323303323022).

The spelling of 220102102122000 in words is "two hundred twenty trillion, one hundred two billion, one hundred two million, one hundred twenty-two thousand".