201266100 has 288 divisors, whose sum is σ = 773283840. Its totient is φ = 43908480.

The previous prime is 201266053. The next prime is 201266129. The reversal of 201266100 is 1662102.

It is a happy number.

201266100 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 661 + 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 95 ways as a sum of consecutive naturals, for example, 434469 + ... + 434931.

Almost surely, 2^201266100 is an apocalyptic number.

201266100 is a gapful number since it is divisible by the number (20) 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 201266100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386641920).

201266100 is an abundant number, since it is smaller than the sum of its proper divisors (572017740).

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

201266100 is a wasteful number, since it uses less digits than its factorization.

201266100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

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

The square root of 201266100 is about 14186.8283982009. The cubic root of 201266100 is about 586.0349856999.

The spelling of 201266100 in words is "two hundred one million, two hundred sixty-six thousand, one hundred".