100222071120 has 400 divisors, whose sum is σ = 357849721152. Its totient is φ = 25982208000.

The previous prime is 100222071107. The next prime is 100222071121. The reversal of 100222071120 is 21170222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100222071093 and 100222071102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222071121) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 69937924 + ... + 69939356.

Almost surely, 2^100222071120 is an apocalyptic number.

100222071120 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 100222071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178924860576).

100222071120 is an abundant number, since it is smaller than the sum of its proper divisors (257627650032).

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

100222071120 is a wasteful number, since it uses less digits than its factorization.

100222071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 100222071120 its reverse (21170222001), we get a palindrome (121392293121).

The spelling of 100222071120 in words is "one hundred billion, two hundred twenty-two million, seventy-one thousand, one hundred twenty".