110000102000120 has 64 divisors (see below), whose sum is σ = 258262613982720. Its totient is φ = 42086750299264.

The previous prime is 110000101999987. The next prime is 110000102000137. The reversal of 110000102000120 is 21000201000011.

It is a super-3 number, since 3×110000102000120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110000102000098 and 110000102000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281345807 + ... + 281736513.

It is an arithmetic number, because the mean of its divisors is an integer number (4035353343480).

Almost surely, 2^{110000102000120} is an apocalyptic number.

110000102000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000102000120 is an abundant number, since it is smaller than the sum of its proper divisors (148262511982600).

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

110000102000120 is a wasteful number, since it uses less digits than its factorization.

110000102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696764 (or 696760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110000102000120 its reverse (21000201000011), we get a palindrome (131000303000131).

The spelling of 110000102000120 in words is "one hundred ten trillion, one hundred two million, one hundred twenty", and thus it is an aban number.