10001102111120 has 40 divisors (see below), whose sum is σ = 23258045999160. Its totient is φ = 3999497431040.

The previous prime is 10001102111113. The next prime is 10001102111141. The reversal of 10001102111120 is 2111120110001.

It can be written as a sum of positive squares in 4 ways, for example, as 1009044358144 + 8992057752976 = 1004512^2 + 2998676^2 .

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

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, 14399435 + ... + 15077994.

It is an arithmetic number, because the mean of its divisors is an integer number (581451149979).

Almost surely, 2^{10001102111120} is an apocalyptic number.

10001102111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001102111120 is an abundant number, since it is smaller than the sum of its proper divisors (13256943888040).

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

10001102111120 is a wasteful number, since it uses less digits than its factorization.

10001102111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29481683 (or 29481677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001102111120 its reverse (2111120110001), we get a palindrome (12112222221121).

The spelling of 10001102111120 in words is "ten trillion, one billion, one hundred two million, one hundred eleven thousand, one hundred twenty".