100220112022100 has 216 divisors, whose sum is σ = 253821793365504. Its totient is φ = 33646128192000.

The previous prime is 100220112022099. The next prime is 100220112022123. The reversal of 100220112022100 is 1220211022001.

It is a super-3 number, since 3×100220112022100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 580761830 + ... + 580934370.

Almost surely, 2^{100220112022100} is an apocalyptic number.

100220112022100 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 100220112022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126910896682752).

100220112022100 is an abundant number, since it is smaller than the sum of its proper divisors (153601681343404).

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

100220112022100 is a wasteful number, since it uses less digits than its factorization.

100220112022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172907 (or 172839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100220112022100 its reverse (1220211022001), we get a palindrome (101440323044101).

The spelling of 100220112022100 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, twenty-two thousand, one hundred".