101144113140 has 96 divisors (see below), whose sum is σ = 325722910464. Its totient is φ = 22971386880.

The previous prime is 101144113139. The next prime is 101144113141. The reversal of 101144113140 is 41311441101.

It is an interprime number because it is at equal distance from previous prime (101144113139) and next prime (101144113141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144113141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701001 + ... + 832880.

It is an arithmetic number, because the mean of its divisors is an integer number (3392946984).

Almost surely, 2^101144113140 is an apocalyptic number.

101144113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144113140 is an abundant number, since it is smaller than the sum of its proper divisors (224578797324).

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

101144113140 is a wasteful number, since it uses less digits than its factorization.

101144113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534057 (or 1534055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101144113140 its reverse (41311441101), we get a palindrome (142455554241).

The spelling of 101144113140 in words is "one hundred one billion, one hundred forty-four million, one hundred thirteen thousand, one hundred forty".