10112001120 has 480 divisors, whose sum is σ = 39280526208. Its totient is φ = 2434240512.

The previous prime is 10112001113. The next prime is 10112001143. The reversal of 10112001120 is 2110021101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7917922 + ... + 7919198.

Almost surely, 2^10112001120 is an apocalyptic number.

10112001120 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 10112001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19640263104).

10112001120 is an abundant number, since it is smaller than the sum of its proper divisors (29168525088).

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

10112001120 is a wasteful number, since it uses less digits than its factorization.

10112001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1347 counting only the distinct ones).

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

Adding to 10112001120 its reverse (2110021101), we get a palindrome (12222022221).

The spelling of 10112001120 in words is "ten billion, one hundred twelve million, one thousand, one hundred twenty".