101111400 has 288 divisors, whose sum is σ = 380835000. Its totient is φ = 23869440.

The previous prime is 101111377. The next prime is 101111449. The reversal of 101111400 is 4111101.

It can be written as a sum of positive squares in 12 ways, for example, as 2268036 + 98843364 = 1506^2 + 9942^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 678526 + ... + 678674.

Almost surely, 2^101111400 is an apocalyptic number.

101111400 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 101111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190417500).

101111400 is an abundant number, since it is smaller than the sum of its proper divisors (279723600).

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

101111400 is a wasteful number, since it uses less digits than its factorization.

101111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

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

The square root of 101111400 is about 10055.4164508488. The cubic root of 101111400 is about 465.8721059748.

Adding to 101111400 its reverse (4111101), we get a palindrome (105222501).

It can be divided in two parts, 10111 and 1400, that added together give a palindrome (11511).

The spelling of 101111400 in words is "one hundred one million, one hundred eleven thousand, four hundred".