100022120 has 64 divisors (see below), whose sum is σ = 253463040. Its totient is φ = 35193600.

The previous prime is 100022113. The next prime is 100022123. The reversal of 100022120 is 21220001.

Added to its reverse (21220001) it gives a square (121242121 = 11011²).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100022098 and 100022107.

It is not an unprimeable number, because it can be changed into a prime (100022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9974 + ... + 17306.

It is an arithmetic number, because the mean of its divisors is an integer number (3960360).

Almost surely, 2^100022120 is an apocalyptic number.

100022120 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 100022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126731520).

100022120 is an abundant number, since it is smaller than the sum of its proper divisors (153440920).

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

100022120 is a wasteful number, since it uses less digits than its factorization.

100022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100022120 is about 10001.1059388450. The cubic root of 100022120 is about 464.1931048198.

Adding to 100022120 its reverse (21220001), we get a palindrome (121242121).

The spelling of 100022120 in words is "one hundred million, twenty-two thousand, one hundred twenty".