100220141022000 has 1280 divisors, whose sum is σ = 348394341335040. Its totient is φ = 24749136384000.

The previous prime is 100220141021999. The next prime is 100220141022041. The reversal of 100220141022000 is 220141022001.

It is a Cunningham number, because it is equal to 10011001²-1.

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 255 ways as a sum of consecutive naturals, for example, 50795813014 + ... + 50795814986.

It is an arithmetic number, because the mean of its divisors is an integer number (272183079168).

Almost surely, 2^{100220141022000} is an apocalyptic number.

100220141022000 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 100220141022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174197170667520).

100220141022000 is an abundant number, since it is smaller than the sum of its proper divisors (248174200313040).

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

100220141022000 is a wasteful number, since it uses less digits than its factorization.

100220141022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2203 counting only the distinct ones).

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

Adding to 100220141022000 its reverse (220141022001), we get a palindrome (100440282044001).

Subtracting from 100220141022000 its reverse (220141022001), we obtain a palindrome (99999999999999).

The spelling of 100220141022000 in words is "one hundred trillion, two hundred twenty billion, one hundred forty-one million, twenty-two thousand".