271653331010100 has 72 divisors (see below), whose sum is σ = 846443917559520. Its totient is φ = 66868512247680.

The previous prime is 271653331010093. The next prime is 271653331010129. The reversal of 271653331010100 is 1010133356172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34827346230 + ... + 34827354029.

It is an arithmetic number, because the mean of its divisors is an integer number (11756165521660).

Almost surely, 2^{271653331010100} is an apocalyptic number.

271653331010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271653331010100 is an abundant number, since it is smaller than the sum of its proper divisors (574790586549420).

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

271653331010100 is a wasteful number, since it uses less digits than its factorization.

271653331010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69654700289 (or 69654700282 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

Adding to 271653331010100 its reverse (1010133356172), we get a palindrome (272663464366272).

The spelling of 271653331010100 in words is "two hundred seventy-one trillion, six hundred fifty-three billion, three hundred thirty-one million, ten thousand, one hundred".