10002111201110 has 96 divisors (see below), whose sum is σ = 21046727469600. Its totient is φ = 3412368960000.

The previous prime is 10002111201107. The next prime is 10002111201119. The reversal of 10002111201110 is 1110211120001.

10002111201110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10002111201091 and 10002111201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111201119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130454066 + ... + 130530714.

It is an arithmetic number, because the mean of its divisors is an integer number (219236744475).

Almost surely, 2^{10002111201110} is an apocalyptic number.

10002111201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002111201110 is an abundant number, since it is smaller than the sum of its proper divisors (11044616268490).

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

10002111201110 is a wasteful number, since it uses less digits than its factorization.

10002111201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77982 (or 77975 counting only the distinct ones).

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

Adding to 10002111201110 its reverse (1110211120001), we get a palindrome (11112322321111).

The spelling of 10002111201110 in words is "ten trillion, two billion, one hundred eleven million, two hundred one thousand, one hundred ten".