100120120000110 has 48 divisors (see below), whose sum is σ = 297499785145056. Its totient is φ = 22884598857024.

The previous prime is 100120120000099. The next prime is 100120120000127. The reversal of 100120120000110 is 11000021021001.

It is a happy number.

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 = 100120120000092 and 100120120000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79460412069 + ... + 79460413328.

It is an arithmetic number, because the mean of its divisors is an integer number (6197912190522).

Almost surely, 2^{100120120000110} is an apocalyptic number.

100120120000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120120000110 is an abundant number, since it is smaller than the sum of its proper divisors (197379665144946).

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

100120120000110 is a wasteful number, since it uses less digits than its factorization.

100120120000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158920825417 (or 158920825414 counting only the distinct ones).

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

Adding to 100120120000110 its reverse (11000021021001), we get a palindrome (111120141021111).

The spelling of 100120120000110 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty million, one hundred ten", and thus it is an aban number.