10002111120 has 80 divisors (see below), whose sum is σ = 34451723520. Its totient is φ = 2667229056.

The previous prime is 10002111101. The next prime is 10002111121. The reversal of 10002111120 is 2111120001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (10002111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313144 + ... + 2317463.

It is an arithmetic number, because the mean of its divisors is an integer number (430646544).

Almost surely, 2^10002111120 is an apocalyptic number.

10002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002111120 is an abundant number, since it is smaller than the sum of its proper divisors (24449612400).

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

10002111120 is a wasteful number, since it uses less digits than its factorization.

10002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630629 (or 4630617 counting only the distinct ones).

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

Adding to 10002111120 its reverse (2111120001), we get a palindrome (12113231121).

The spelling of 10002111120 in words is "ten billion, two million, one hundred eleven thousand, one hundred twenty".