10110103120 has 80 divisors (see below), whose sum is σ = 25743352320. Its totient is φ = 3669668352.

The previous prime is 10110103103. The next prime is 10110103127. The reversal of 10110103120 is 2130101101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10110103120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10110103097 and 10110103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110103127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21024 + ... + 143743.

It is an arithmetic number, because the mean of its divisors is an integer number (321791904).

Almost surely, 2^10110103120 is an apocalyptic number.

10110103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110103120 is an abundant number, since it is smaller than the sum of its proper divisors (15633249200).

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

10110103120 is a wasteful number, since it uses less digits than its factorization.

10110103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164852 (or 164846 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10110103120 its reverse (2130101101), we get a palindrome (12240204221).

The spelling of 10110103120 in words is "ten billion, one hundred ten million, one hundred three thousand, one hundred twenty".