271021101120172 has 48 divisors (see below), whose sum is σ = 521546718434112. Its totient is φ = 122472611988480.

The previous prime is 271021101120139. The next prime is 271021101120173.

271021101120172 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 271021101120172.

It is not an unprimeable number, because it can be changed into a prime (271021101120173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260051104 + ... + 261091207.

It is an arithmetic number, because the mean of its divisors is an integer number (10865556634044).

Almost surely, 2^{271021101120172} is an apocalyptic number.

It is an amenable number.

271021101120172 is a deficient number, since it is larger than the sum of its proper divisors (250525617313940).

271021101120172 is a wasteful number, since it uses less digits than its factorization.

271021101120172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521142538 (or 521142536 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 28.

It can be divided in two parts, 27102110 and 1120172, that added together give a palindrome (28222282).

The spelling of 271021101120172 in words is "two hundred seventy-one trillion, twenty-one billion, one hundred one million, one hundred twenty thousand, one hundred seventy-two".