201101212100040 has 256 divisors, whose sum is σ = 700040772587520. Its totient is φ = 45266159447040.

The previous prime is 201101212100039. The next prime is 201101212100051. The reversal of 201101212100040 is 40001212101102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 201101212099992 and 201101212100019.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17045602 + ... + 26320238.

It is an arithmetic number, because the mean of its divisors is an integer number (2734534267920).

Almost surely, 2^{201101212100040} is an apocalyptic number.

201101212100040 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 201101212100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350020386293760).

201101212100040 is an abundant number, since it is smaller than the sum of its proper divisors (498939560487480).

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

201101212100040 is a wasteful number, since it uses less digits than its factorization.

201101212100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275052 (or 9275048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201101212100040 its reverse (40001212101102), we get a palindrome (241102424201142).

The spelling of 201101212100040 in words is "two hundred one trillion, one hundred one billion, two hundred twelve million, one hundred thousand, forty".