10012120110 has 192 divisors, whose sum is σ = 28762905600. Its totient is φ = 2405044224.

The previous prime is 10012120073. The next prime is 10012120121. The reversal of 10012120110 is 1102121001.

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 = 10012120092 and 10012120101.

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, 7590031 + ... + 7591349.

It is an arithmetic number, because the mean of its divisors is an integer number (149806800).

Almost surely, 2^10012120110 is an apocalyptic number.

10012120110 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 10012120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381452800).

10012120110 is an abundant number, since it is smaller than the sum of its proper divisors (18750785490).

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

10012120110 is a wasteful number, since it uses less digits than its factorization.

10012120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1564 counting only the distinct ones).

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

Adding to 10012120110 its reverse (1102121001), we get a palindrome (11114241111).

The spelling of 10012120110 in words is "ten billion, twelve million, one hundred twenty thousand, one hundred ten".