10120120000110 has 96 divisors (see below), whose sum is σ = 27250630198272. Its totient is φ = 2604078348480.

The previous prime is 10120120000051. The next prime is 10120120000121. The reversal of 10120120000110 is 1100002102101.

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 = 10120120000092 and 10120120000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16548004 + ... + 17148663.

It is an arithmetic number, because the mean of its divisors is an integer number (283860731232).

Almost surely, 2^{10120120000110} is an apocalyptic number.

10120120000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120120000110 is an abundant number, since it is smaller than the sum of its proper divisors (17130510198162).

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

10120120000110 is a wasteful number, since it uses less digits than its factorization.

10120120000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33696798 (or 33696795 counting only the distinct ones).

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

Adding to 10120120000110 its reverse (1100002102101), we get a palindrome (11220122102211).

The spelling of 10120120000110 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, one hundred ten", and thus it is an aban number.