100010232120 has 192 divisors, whose sum is σ = 315297360000. Its totient is φ = 25369923840.

The previous prime is 100010232109. The next prime is 100010232121. The reversal of 100010232120 is 21232010001.

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 = 100010232096 and 100010232105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010232121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6796531 + ... + 6811229.

It is an arithmetic number, because the mean of its divisors is an integer number (1642173750).

Almost surely, 2^100010232120 is an apocalyptic number.

100010232120 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 100010232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157648680000).

100010232120 is an abundant number, since it is smaller than the sum of its proper divisors (215287127880).

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

100010232120 is a wasteful number, since it uses less digits than its factorization.

100010232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14834 (or 14799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100010232120 its reverse (21232010001), we get a palindrome (121242242121).

The spelling of 100010232120 in words is "one hundred billion, ten million, two hundred thirty-two thousand, one hundred twenty".