201150100 has 72 divisors (see below), whose sum is σ = 454095936. Its totient is φ = 77280000.

The previous prime is 201150091. The next prime is 201150101. The reversal of 201150100 is 1051102.

It is a happy number.

It is a super-3 number, since 3×201150100³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201150101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290755 + ... + 291445.

It is an arithmetic number, because the mean of its divisors is an integer number (6306888).

Almost surely, 2^201150100 is an apocalyptic number.

201150100 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 201150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227047968).

201150100 is an abundant number, since it is smaller than the sum of its proper divisors (252945836).

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

201150100 is a wasteful number, since it uses less digits than its factorization.

201150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 201150100 is about 14182.7395096998. The cubic root of 201150100 is about 585.9223767000.

The spelling of 201150100 in words is "two hundred one million, one hundred fifty thousand, one hundred".