10100011120 has 40 divisors (see below), whose sum is σ = 23558090400. Its totient is φ = 4027004160.

The previous prime is 10100011093. The next prime is 10100011147. The reversal of 10100011120 is 2111000101.

It is an interprime number because it is at equal distance from previous prime (10100011093) and next prime (10100011147).

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 178095 + ... + 227854.

It is an arithmetic number, because the mean of its divisors is an integer number (588952260).

Almost surely, 2^10100011120 is an apocalyptic number.

10100011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100011120 is an abundant number, since it is smaller than the sum of its proper divisors (13458079280).

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

10100011120 is a wasteful number, since it uses less digits than its factorization.

10100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406273 (or 406267 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100011120 its reverse (2111000101), we get a palindrome (12211011221).

The spelling of 10100011120 in words is "ten billion, one hundred million, eleven thousand, one hundred twenty".