10120021110 has 96 divisors (see below), whose sum is σ = 27796785120. Its totient is φ = 2547417600.

The previous prime is 10120021099. The next prime is 10120021141. The reversal of 10120021110 is 1112002101.

It is a happy number.

10120021110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10120021092 and 10120021101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469980 + ... + 491040.

It is an arithmetic number, because the mean of its divisors is an integer number (289549845).

Almost surely, 2^10120021110 is an apocalyptic number.

10120021110 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 10120021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898392560).

10120021110 is an abundant number, since it is smaller than the sum of its proper divisors (17676764010).

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

10120021110 is a wasteful number, since it uses less digits than its factorization.

10120021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374 (or 21371 counting only the distinct ones).

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

Adding to 10120021110 its reverse (1112002101), we get a palindrome (11232023211).

The spelling of 10120021110 in words is "ten billion, one hundred twenty million, twenty-one thousand, one hundred ten".