201101040 has 120 divisors (see below), whose sum is σ = 771864288. Its totient is φ = 45964800.

The previous prime is 201101009. The next prime is 201101059. The reversal of 201101040 is 40101102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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

It is a congruent number.

It is an unprimeable number.

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, 14911 + ... + 24990.

Almost surely, 2^201101040 is an apocalyptic number.

201101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101040 is an abundant number, since it is smaller than the sum of its proper divisors (570763248).

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

201101040 is a wasteful number, since it uses less digits than its factorization.

201101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39927 (or 39918 counting only the distinct ones).

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

The square root of 201101040 is about 14181.0098371026. The cubic root of 201101040 is about 585.8747378322.

Adding to 201101040 its reverse (40101102), we get a palindrome (241202142).

The spelling of 201101040 in words is "two hundred one million, one hundred one thousand, forty".