27210111101272 has 32 divisors (see below), whose sum is σ = 55657641312000. Its totient is φ = 12368099901600.

The previous prime is 27210111101231. The next prime is 27210111101359.

27210111101272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27210111101272² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27210111101272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6858397 + ... + 10072627.

It is an arithmetic number, because the mean of its divisors is an integer number (1739301291000).

Almost surely, 2^{27210111101272} is an apocalyptic number.

27210111101272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27210111101272 is an abundant number, since it is smaller than the sum of its proper divisors (28447530210728).

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

27210111101272 is a wasteful number, since it uses less digits than its factorization.

27210111101272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310447 (or 3310443 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, 2721011 and 1101272, that added together give a palindrome (3822283).

The spelling of 27210111101272 in words is "twenty-seven trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, two hundred seventy-two".