100120120110 has 192 divisors, whose sum is σ = 281617015680. Its totient is φ = 24584601600.

The previous prime is 100120120073. The next prime is 100120120153. The reversal of 100120120110 is 11021021001.

It is a happy number.

It is a super-3 number, since 3×100120120110³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100120120092 and 100120120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32515551 + ... + 32518629.

It is an arithmetic number, because the mean of its divisors is an integer number (1466755290).

Almost surely, 2^100120120110 is an apocalyptic number.

100120120110 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 100120120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140808507840).

100120120110 is an abundant number, since it is smaller than the sum of its proper divisors (181496895570).

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

100120120110 is a wasteful number, since it uses less digits than its factorization.

100120120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3560 counting only the distinct ones).

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

Adding to 100120120110 its reverse (11021021001), we get a palindrome (111141141111).

The spelling of 100120120110 in words is "one hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred ten".