101122205472 has 72 divisors (see below), whose sum is σ = 287892665424. Its totient is φ = 33669143424.

The previous prime is 101122205417. The next prime is 101122205477. The reversal of 101122205472 is 274502221101.

It is a happy number.

101122205472 is a `hidden beast` number, since 1 + 0 + 112 + 2 + 2 + 0 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (101122205477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55483 + ... + 453125.

It is an arithmetic number, because the mean of its divisors is an integer number (3998509242).

Almost surely, 2^101122205472 is an apocalyptic number.

101122205472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122205472 is an abundant number, since it is smaller than the sum of its proper divisors (186770459952).

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

101122205472 is a wasteful number, since it uses less digits than its factorization.

101122205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398542 (or 398531 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 101122205472 its reverse (274502221101), we get a palindrome (375624426573).

The spelling of 101122205472 in words is "one hundred one billion, one hundred twenty-two million, two hundred five thousand, four hundred seventy-two".