201301100 has 144 divisors (see below), whose sum is σ = 586795776. Its totient is φ = 57888000.

The previous prime is 201301099. The next prime is 201301109. The reversal of 201301100 is 1103102.

It is a super-2 number, since 2×201301100² = 81044265722420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201301109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99095 + ... + 101105.

Almost surely, 2^201301100 is an apocalyptic number.

201301100 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 201301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293397888).

201301100 is an abundant number, since it is smaller than the sum of its proper divisors (385494676).

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

201301100 is a wasteful number, since it uses less digits than its factorization.

201301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 201301100 is about 14188.0618831467. The cubic root of 201301100 is about 586.0689540559.

Adding to 201301100 its reverse (1103102), we get a palindrome (202404202).

The spelling of 201301100 in words is "two hundred one million, three hundred one thousand, one hundred".