101225772 has 36 divisors (see below), whose sum is σ = 256825296. Its totient is φ = 33616800.

The previous prime is 101225743. The next prime is 101225797. The reversal of 101225772 is 277522101.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4897 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (7134036).

Almost surely, 2^101225772 is an apocalyptic number.

101225772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101225772 is an abundant number, since it is smaller than the sum of its proper divisors (155599524).

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

101225772 is a wasteful number, since it uses less digits than its factorization.

101225772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 101225772 is about 10061.1019277214. The cubic root of 101225772 is about 466.0476966167.

Adding to 101225772 its reverse (277522101), we get a palindrome (378747873).

The spelling of 101225772 in words is "one hundred one million, two hundred twenty-five thousand, seven hundred seventy-two".