10120111100 has 72 divisors (see below), whose sum is σ = 23973996816. Its totient is φ = 3677440000.

The previous prime is 10120111093. The next prime is 10120111109. The reversal of 10120111100 is 111102101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120111109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2286890 + ... + 2291310.

It is an arithmetic number, because the mean of its divisors is an integer number (332972178).

Almost surely, 2^10120111100 is an apocalyptic number.

10120111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986998408).

10120111100 is an abundant number, since it is smaller than the sum of its proper divisors (13853885716).

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

10120111100 is a wasteful number, since it uses less digits than its factorization.

10120111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10120111100 its reverse (111102101), we get a palindrome (10231213201).

The spelling of 10120111100 in words is "ten billion, one hundred twenty million, one hundred eleven thousand, one hundred".