101144478101 has 8 divisors (see below), whose sum is σ = 102075553944. Its totient is φ = 100214033920.

The previous prime is 101144478089. The next prime is 101144478133. The reversal of 101144478101 is 101874441101.

It can be written as a sum of positive squares in 4 ways, for example, as 13883908900 + 87260569201 = 117830^2 + 295399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101144478101 is a prime.

It is a super-4 number, since 4×101144478101⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144178101) 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, 166865 + ... + 479721.

It is an arithmetic number, because the mean of its divisors is an integer number (12759444243).

Almost surely, 2^101144478101 is an apocalyptic number.

It is an amenable number.

101144478101 is a deficient number, since it is larger than the sum of its proper divisors (931075843).

101144478101 is a wasteful number, since it uses less digits than its factorization.

101144478101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315831.

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 101144478101 in words is "one hundred one billion, one hundred forty-four million, four hundred seventy-eight thousand, one hundred one".