10000001120 has 72 divisors (see below), whose sum is σ = 25096572144. Its totient is φ = 3764688896.

The previous prime is 10000001117. The next prime is 10000001153. The reversal of 10000001120 is 2110000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61892 + ... + 154371.

It is an arithmetic number, because the mean of its divisors is an integer number (348563502).

Almost surely, 2^10000001120 is an apocalyptic number.

10000001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001120 is an abundant number, since it is smaller than the sum of its proper divisors (15096571024).

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

10000001120 is a wasteful number, since it uses less digits than its factorization.

10000001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216312 (or 216287 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000001120 its reverse (2110000001), we get a palindrome (12110001121).

The spelling of 10000001120 in words is "ten billion, one thousand, one hundred twenty".