101112231223272 has 64 divisors (see below), whose sum is σ = 252868612651200. Its totient is φ = 33692340672000.

The previous prime is 101112231223271. The next prime is 101112231223273. The reversal of 101112231223272 is 272322132211101.

It is an interprime number because it is at equal distance from previous prime (101112231223271) and next prime (101112231223273).

It is a super-2 number, since 2×101112231223272² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101112231223271) 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, 1289049238 + ... + 1289127674.

It is an arithmetic number, because the mean of its divisors is an integer number (3951072072675).

Almost surely, 2^{101112231223272} is an apocalyptic number.

101112231223272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112231223272 is an abundant number, since it is smaller than the sum of its proper divisors (151756381427928).

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

101112231223272 is a wasteful number, since it uses less digits than its factorization.

101112231223272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96466 (or 96462 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 101112231223272 its reverse (272322132211101), we get a palindrome (373434363434373).

The spelling of 101112231223272 in words is "one hundred one trillion, one hundred twelve billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred seventy-two".