101144433140 has 48 divisors (see below), whose sum is σ = 215521462800. Its totient is φ = 39864913920.

The previous prime is 101144433107. The next prime is 101144433149. The reversal of 101144433140 is 41334441101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3126599056 + 98017834084 = 55916^2 + 313078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144433149) 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, 1498520 + ... + 1564560.

It is an arithmetic number, because the mean of its divisors is an integer number (4490030475).

Almost surely, 2^101144433140 is an apocalyptic number.

101144433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144433140 is an abundant number, since it is smaller than the sum of its proper divisors (114377029660).

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

101144433140 is a wasteful number, since it uses less digits than its factorization.

101144433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67172 (or 67170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 101144433140 its reverse (41334441101), we get a palindrome (142478874241).

The spelling of 101144433140 in words is "one hundred one billion, one hundred forty-four million, four hundred thirty-three thousand, one hundred forty".