101144101101312 has 72 divisors (see below), whose sum is σ = 277874385349120. Its totient is φ = 32627129379840.

The previous prime is 101144101101311. The next prime is 101144101101313. The reversal of 101144101101312 is 213101101441101.

It is an interprime number because it is at equal distance from previous prime (101144101101311) and next prime (101144101101313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144101101311) 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, 2124138262 + ... + 2124185877.

Almost surely, 2^{101144101101312} is an apocalyptic number.

101144101101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101144101101312 is an abundant number, since it is smaller than the sum of its proper divisors (176730284247808).

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

101144101101312 is an equidigital number, since it uses as much as digits as its factorization.

101144101101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248324189 (or 4248324175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 101144101101312 its reverse (213101101441101), we get a palindrome (314245202542413).

The spelling of 101144101101312 in words is "one hundred one trillion, one hundred forty-four billion, one hundred one million, one hundred one thousand, three hundred twelve".