100120102110 has 192 divisors, whose sum is σ = 318153407040. Its totient is φ = 22326312960.

The previous prime is 100120102009. The next prime is 100120102111. The reversal of 100120102110 is 11201021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100120102092 and 100120102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450142 + ... + 634718.

It is an arithmetic number, because the mean of its divisors is an integer number (1657048995).

Almost surely, 2^100120102110 is an apocalyptic number.

100120102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159076703520).

100120102110 is an abundant number, since it is smaller than the sum of its proper divisors (218033304930).

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

100120102110 is a wasteful number, since it uses less digits than its factorization.

100120102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184648 (or 184635 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100120102110 its reverse (11201021001), we get a palindrome (111321123111).

The spelling of 100120102110 in words is "one hundred billion, one hundred twenty million, one hundred two thousand, one hundred ten".