101114300 has 144 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 31395840.

The previous prime is 101114297. The next prime is 101114309. The reversal of 101114300 is 3411101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344954 + ... + 345246.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^101114300 is an apocalyptic number.

101114300 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 101114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

101114300 is an abundant number, since it is smaller than the sum of its proper divisors (174493060).

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

101114300 is a wasteful number, since it uses less digits than its factorization.

101114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101114300 is about 10055.5606507047. The cubic root of 101114300 is about 465.8765598616.

Adding to 101114300 its reverse (3411101), we get a palindrome (104525401).

The spelling of 101114300 in words is "one hundred one million, one hundred fourteen thousand, three hundred".