100022120200000 has 168 divisors, whose sum is σ = 248522150986200. Its totient is φ = 39938488320000.

The previous prime is 100022120199959. The next prime is 100022120200019. The reversal of 100022120200000 is 2021220001.

It can be written as a sum of positive squares in 12 ways, for example, as 99082275264064 + 939844935936 = 9954008^2 + 969456^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 100022120200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113360536 + ... + 114239464.

It is an arithmetic number, because the mean of its divisors is an integer number (1479298517775).

Almost surely, 2^{100022120200000} is an apocalyptic number.

100022120200000 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 100022120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124261075493100).

100022120200000 is an abundant number, since it is smaller than the sum of its proper divisors (148500030786200).

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

100022120200000 is an frugal number, since it uses more digits than its factorization.

100022120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879535 (or 879505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100022120200000 its reverse (2021220001), we get a palindrome (100024141420001).

The spelling of 100022120200000 in words is "one hundred trillion, twenty-two billion, one hundred twenty million, two hundred thousand".