10111110010100 has 144 divisors (see below), whose sum is σ = 25223737827456. Its totient is φ = 3482086080000.

The previous prime is 10111110010091. The next prime is 10111110010189. The reversal of 10111110010100 is 101001111101.

10111110010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576842 + ... + 4533758.

It is an arithmetic number, because the mean of its divisors is an integer number (175164846024).

Almost surely, 2^{10111110010100} is an apocalyptic number.

10111110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611868913728).

10111110010100 is an abundant number, since it is smaller than the sum of its proper divisors (15112627817356).

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

10111110010100 is a wasteful number, since it uses less digits than its factorization.

10111110010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957066 (or 3957059 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10111110010100 its reverse (101001111101), we get a palindrome (10212111121201).

The spelling of 10111110010100 in words is "ten trillion, one hundred eleven billion, one hundred ten million, ten thousand, one hundred".