10111111400 has 48 divisors (see below), whose sum is σ = 25316673900. Its totient is φ = 3733332480.

The previous prime is 10111111399. The next prime is 10111111427. The reversal of 10111111400 is 411111101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 219217636 + 9891893764 = 14806^2 + 99458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941845 + ... + 1947044.

Almost surely, 2^10111111400 is an apocalyptic number.

10111111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111111400 is an abundant number, since it is smaller than the sum of its proper divisors (15205562500).

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

10111111400 is a wasteful number, since it uses less digits than its factorization.

10111111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888918 (or 3888909 counting only the distinct ones).

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

Adding to 10111111400 its reverse (411111101), we get a palindrome (10522222501).

The spelling of 10111111400 in words is "ten billion, one hundred eleven million, one hundred eleven thousand, four hundred".