100120210120 has 128 divisors (see below), whose sum is σ = 261941091840. Its totient is φ = 33729546240.

The previous prime is 100120210111. The next prime is 100120210129. The reversal of 100120210120 is 21012021001.

It is an interprime number because it is at equal distance from previous prime (100120210111) and next prime (100120210129).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100120210097 and 100120210106.

It is not an unprimeable number, because it can be changed into a prime (100120210129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20886444 + ... + 20891236.

It is an arithmetic number, because the mean of its divisors is an integer number (2046414780).

Almost surely, 2^100120210120 is an apocalyptic number.

100120210120 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 100120210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130970545920).

100120210120 is an abundant number, since it is smaller than the sum of its proper divisors (161820881720).

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

100120210120 is a wasteful number, since it uses less digits than its factorization.

100120210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120210120 its reverse (21012021001), we get a palindrome (121132231121).

The spelling of 100120210120 in words is "one hundred billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".