101201122272 has 48 divisors (see below), whose sum is σ = 265786475472. Its totient is φ = 33716751360.

The previous prime is 101201122189. The next prime is 101201122273. The reversal of 101201122272 is 272221102101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101201122272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201122273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72229 + ... + 455652.

It is an arithmetic number, because the mean of its divisors is an integer number (5537218239).

Almost surely, 2^101201122272 is an apocalyptic number.

101201122272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201122272 is an abundant number, since it is smaller than the sum of its proper divisors (164585353200).

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

101201122272 is a wasteful number, since it uses less digits than its factorization.

101201122272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529891 (or 529883 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 101201122272 its reverse (272221102101), we get a palindrome (373422224373).

The spelling of 101201122272 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, two hundred seventy-two".