101221272 has 64 divisors (see below), whose sum is σ = 282441600. Its totient is φ = 33588000.

The previous prime is 101221259. The next prime is 101221273. The reversal of 101221272 is 272122101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221273) 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, 53283 + ... + 55149.

It is an arithmetic number, because the mean of its divisors is an integer number (4413150).

Almost surely, 2^101221272 is an apocalyptic number.

101221272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141220800).

101221272 is an abundant number, since it is smaller than the sum of its proper divisors (181220328).

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

101221272 is a wasteful number, since it uses less digits than its factorization.

101221272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 101221272 is about 10060.8782916801. The cubic root of 101221272 is about 466.0407904515.

Adding to 101221272 its reverse (272122101), we get a palindrome (373343373).

The spelling of 101221272 in words is "one hundred one million, two hundred twenty-one thousand, two hundred seventy-two".