100122242220 has 576 divisors, whose sum is σ = 431770300416. Its totient is φ = 18074050560.

The previous prime is 100122242197. The next prime is 100122242251. The reversal of 100122242220 is 22242221001.

100122242220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 222 + 422 + 20 = 666.

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 = 100122242193 and 100122242202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3046717 + ... + 3079403.

It is an arithmetic number, because the mean of its divisors is an integer number (749601216).

Almost surely, 2^100122242220 is an apocalyptic number.

100122242220 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 100122242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215885150208).

100122242220 is an abundant number, since it is smaller than the sum of its proper divisors (331648058196).

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

100122242220 is a wasteful number, since it uses less digits than its factorization.

100122242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32750 (or 32745 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100122242220 its reverse (22242221001), we get a palindrome (122364463221).

The spelling of 100122242220 in words is "one hundred billion, one hundred twenty-two million, two hundred forty-two thousand, two hundred twenty".