101422272 has 224 divisors, whose sum is σ = 340595712. Its totient is φ = 25952256.

The previous prime is 101422271. The next prime is 101422283. The reversal of 101422272 is 272224101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101422271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525408 + ... + 525600.

Almost surely, 2^101422272 is an apocalyptic number.

101422272 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 101422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170297856).

101422272 is an abundant number, since it is smaller than the sum of its proper divisors (239173440).

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

101422272 is a wasteful number, since it uses less digits than its factorization.

101422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 101422272 is about 10070.8625251266. The cubic root of 101422272 is about 466.3490664389.

Adding to 101422272 its reverse (272224101), we get a palindrome (373646373).

The spelling of 101422272 in words is "one hundred one million, four hundred twenty-two thousand, two hundred seventy-two".