101201144004 has 18 divisors (see below), whose sum is σ = 255814002990. Its totient is φ = 33733714656.

The previous prime is 101201143969. The next prime is 101201144021. The reversal of 101201144004 is 400441102101.

It can be written as a sum of positive squares in only one way, i.e., 100712291904 + 488852100 = 317352^2 + 22110^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1405571409 + ... + 1405571480.

It is an arithmetic number, because the mean of its divisors is an integer number (14211889055).

Almost surely, 2^101201144004 is an apocalyptic number.

It is an amenable number.

101201144004 is an abundant number, since it is smaller than the sum of its proper divisors (154612858986).

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

101201144004 is a wasteful number, since it uses less digits than its factorization.

101201144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811142899 (or 2811142894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101201144004 its reverse (400441102101), we get a palindrome (501642246105).

The spelling of 101201144004 in words is "one hundred one billion, two hundred one million, one hundred forty-four thousand, four".