100022021101200 has 480 divisors, whose sum is σ = 360468257162112. Its totient is φ = 23494496256000.

The previous prime is 100022021101181. The next prime is 100022021101217. The reversal of 100022021101200 is 2101120220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117279514 + ... + 118129286.

Almost surely, 2^{100022021101200} is an apocalyptic number.

100022021101200 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 100022021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180234128581056).

100022021101200 is an abundant number, since it is smaller than the sum of its proper divisors (260446236060912).

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

100022021101200 is a wasteful number, since it uses less digits than its factorization.

100022021101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850083 (or 850072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022021101200 its reverse (2101120220001), we get a palindrome (102123141321201).

It can be divided in two parts, 10002 and 2021101200, that added together give a palindrome (2021111202).

The spelling of 100022021101200 in words is "one hundred trillion, twenty-two billion, twenty-one million, one hundred one thousand, two hundred".