100112220202020 has 384 divisors, whose sum is σ = 308019303728640. Its totient is φ = 24146279055360.

The previous prime is 100112220202013. The next prime is 100112220202051. The reversal of 100112220202020 is 20202022211001.

It is a super-2 number, since 2×100112220202020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12037054902 + ... + 12037063218.

It is an arithmetic number, because the mean of its divisors is an integer number (802133603460).

Almost surely, 2^{100112220202020} is an apocalyptic number.

100112220202020 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 100112220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154009651864320).

100112220202020 is an abundant number, since it is smaller than the sum of its proper divisors (207907083526620).

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

100112220202020 is a wasteful number, since it uses less digits than its factorization.

100112220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9773 counting only the distinct ones).

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

Adding to 100112220202020 its reverse (20202022211001), we get a palindrome (120314242413021).

The spelling of 100112220202020 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, two hundred two thousand, twenty".