201101540143020 has 192 divisors, whose sum is σ = 617521182243840. Its totient is φ = 48494549376000.

The previous prime is 201101540143019. The next prime is 201101540143067. The reversal of 201101540143020 is 20341045101102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164587345 + ... + 165804695.

It is an arithmetic number, because the mean of its divisors is an integer number (3216256157520).

Almost surely, 2^{201101540143020} is an apocalyptic number.

201101540143020 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 201101540143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308760591121920).

201101540143020 is an abundant number, since it is smaller than the sum of its proper divisors (416419642100820).

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

201101540143020 is a wasteful number, since it uses less digits than its factorization.

201101540143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218696 (or 1218694 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 201101540143020 its reverse (20341045101102), we get a palindrome (221442585244122).

The spelling of 201101540143020 in words is "two hundred one trillion, one hundred one billion, five hundred forty million, one hundred forty-three thousand, twenty".