100122021120 has 216 divisors, whose sum is σ = 351478538208. Its totient is φ = 24271892480.

The previous prime is 100122021107. The next prime is 100122021151. The reversal of 100122021120 is 21120221001.

It is a super-2 number, since 2×100122021120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100122021096 and 100122021105.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 356899 + ... + 572381.

Almost surely, 2^100122021120 is an apocalyptic number.

100122021120 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 100122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175739269104).

100122021120 is an abundant number, since it is smaller than the sum of its proper divisors (251356517088).

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

100122021120 is a wasteful number, since it uses less digits than its factorization.

100122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215529 (or 215504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100122021120 its reverse (21120221001), we get a palindrome (121242242121).

The spelling of 100122021120 in words is "one hundred billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".