101272 has 8 divisors (see below), whose sum is σ = 189900. Its totient is φ = 50632.

The previous prime is 101267. The next prime is 101273. The reversal of 101272 is 272101.

101272 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6322 + ... + 6337.

2¹⁰¹²⁷² is an apocalyptic number.

It is an amenable number.

101272 is a deficient number, since it is larger than the sum of its proper divisors (88628).

101272 is a wasteful number, since it uses less digits than its factorization.

101272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 101272 is about 318.2326193212. The cubic root of 101272 is about 46.6118631036.

Adding to 101272 its reverse (272101), we get a palindrome (373373).

It can be divided in two parts, 101 and 272, that multiplied together give a palindrome (27472).

The spelling of 101272 in words is "one hundred one thousand, two hundred seventy-two", and thus it is an iban number.