201100020 has 96 divisors (see below), whose sum is σ = 625968000. Its totient is φ = 47823360.

The previous prime is 201100013. The next prime is 201100027. The reversal of 201100020 is 20001102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201100013) and next prime (201100027).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 201099981 and 201100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100027) 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 31 ways as a sum of consecutive naturals, for example, 32106 + ... + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (6520500).

Almost surely, 2^201100020 is an apocalyptic number.

201100020 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 201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984000).

201100020 is an abundant number, since it is smaller than the sum of its proper divisors (424867980).

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

201100020 is a wasteful number, since it uses less digits than its factorization.

201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201100020 is about 14180.9738734686. The cubic root of 201100020 is about 585.8737472966.

Adding to 201100020 its reverse (20001102), we get a palindrome (221101122).

The spelling of 201100020 in words is "two hundred one million, one hundred thousand, twenty".