201005100 has 54 divisors (see below), whose sum is σ = 630042140. Its totient is φ = 53601120.

The previous prime is 201005099. The next prime is 201005107. The reversal of 201005100 is 1500102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201005107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110770 + ... + 112569.

Almost surely, 2^201005100 is an apocalyptic number.

201005100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201005100 is an abundant number, since it is smaller than the sum of its proper divisors (429037040).

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

201005100 is a wasteful number, since it uses less digits than its factorization.

201005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223359 (or 223349 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 201005100 is about 14177.6267407490. The cubic root of 201005100 is about 585.7815545526.

Adding to 201005100 its reverse (1500102), we get a palindrome (202505202).

It can be divided in two parts, 20100 and 5100, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 201005100 in words is "two hundred one million, five thousand, one hundred".