100022120202000 has 320 divisors, whose sum is σ = 332920859701248. Its totient is φ = 25815801600000.

The previous prime is 100022120201999. The next prime is 100022120202013. The reversal of 100022120202000 is 202021220001.

It is a super-3 number, since 3×100022120202000³ (a number of 43 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 41222550 + ... + 43581450.

Almost surely, 2^{100022120202000} is an apocalyptic number.

100022120202000 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 100022120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166460429850624).

100022120202000 is an abundant number, since it is smaller than the sum of its proper divisors (232898739499248).

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

100022120202000 is a wasteful number, since it uses less digits than its factorization.

100022120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359155 (or 2359139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022120202000 its reverse (202021220001), we get a palindrome (100224141422001).

The spelling of 100022120202000 in words is "one hundred trillion, twenty-two billion, one hundred twenty million, two hundred two thousand".