201101540053120 has 128 divisors (see below), whose sum is σ = 549462365015040. Its totient is φ = 68946058973184.

The previous prime is 201101540053109. The next prime is 201101540053171. The reversal of 201101540053120 is 21350045101102.

201101540053120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201101540053120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101806374 + ... + 103762906.

It is an arithmetic number, because the mean of its divisors is an integer number (4292674726680).

Almost surely, 2^{201101540053120} is an apocalyptic number.

201101540053120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101540053120 is an abundant number, since it is smaller than the sum of its proper divisors (348360824961920).

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

201101540053120 is a wasteful number, since it uses less digits than its factorization.

201101540053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979502 (or 1979490 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 201101540053120 its reverse (21350045101102), we get a palindrome (222451585154222).

The spelling of 201101540053120 in words is "two hundred one trillion, one hundred one billion, five hundred forty million, fifty-three thousand, one hundred twenty".