101266200 has 480 divisors, whose sum is σ = 432115200. Its totient is φ = 21461760.

The previous prime is 101266183. The next prime is 101266213. The reversal of 101266200 is 2662101.

It is a happy number.

101266200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 662 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2154577 + ... + 2154623.

It is an arithmetic number, because the mean of its divisors is an integer number (900240).

Almost surely, 2^101266200 is an apocalyptic number.

101266200 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 101266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

101266200 is an abundant number, since it is smaller than the sum of its proper divisors (330849000).

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

101266200 is a wasteful number, since it uses less digits than its factorization.

101266200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101266200 is about 10063.1108510242. The cubic root of 101266200 is about 466.1097324275.

The spelling of 101266200 in words is "one hundred one million, two hundred sixty-six thousand, two hundred".