10116414200 has 96 divisors (see below), whose sum is σ = 24198711600. Its totient is φ = 3930301440.

The previous prime is 10116414199. The next prime is 10116414211. The reversal of 10116414200 is 241461101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6933071 + ... + 6934529.

Almost surely, 2^10116414200 is an apocalyptic number.

10116414200 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 10116414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099355800).

10116414200 is an abundant number, since it is smaller than the sum of its proper divisors (14082297400).

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

10116414200 is a wasteful number, since it uses less digits than its factorization.

10116414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10116414200 its reverse (241461101), we get a palindrome (10357875301).

The spelling of 10116414200 in words is "ten billion, one hundred sixteen million, four hundred fourteen thousand, two hundred".