201014100 has 108 divisors (see below), whose sum is σ = 720099744. Its totient is φ = 45944640.

The previous prime is 201014087. The next prime is 201014101. The reversal of 201014100 is 1410102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201014101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9654 + ... + 22253.

Almost surely, 2^201014100 is an apocalyptic number.

201014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201014100 is an abundant number, since it is smaller than the sum of its proper divisors (519085644).

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

201014100 is a wasteful number, since it uses less digits than its factorization.

201014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31934 (or 31924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201014100 is about 14177.9441386966. The cubic root of 201014100 is about 585.7902972086.

Adding to 201014100 its reverse (1410102), we get a palindrome (202424202).

It can be divided in two parts, 2010 and 14100, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 201014100 in words is "two hundred one million, fourteen thousand, one hundred".