201101201040 has 160 divisors (see below), whose sum is σ = 651188964096. Its totient is φ = 51242526720.

The previous prime is 201101200967. The next prime is 201101201051. The reversal of 201101201040 is 40102101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 5485170 + ... + 5521710.

Almost surely, 2^201101201040 is an apocalyptic number.

201101201040 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 201101201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325594482048).

201101201040 is an abundant number, since it is smaller than the sum of its proper divisors (450087763056).

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

201101201040 is a wasteful number, since it uses less digits than its factorization.

201101201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37577 (or 37571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201101201040 its reverse (40102101102), we get a palindrome (241203302142).

The spelling of 201101201040 in words is "two hundred one billion, one hundred one million, two hundred one thousand, forty".