101141320004 has 24 divisors (see below), whose sum is σ = 187483573368. Its totient is φ = 47576954880.

The previous prime is 101141319997. The next prime is 101141320009. The reversal of 101141320004 is 400023141101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26519471104 + 74621848900 = 162848^2 + 273170^2 .

It is a super-2 number, since 2×101141320004² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (101141320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123569 + ... + 466424.

It is an arithmetic number, because the mean of its divisors is an integer number (7811815557).

Almost surely, 2^101141320004 is an apocalyptic number.

It is an amenable number.

101141320004 is a deficient number, since it is larger than the sum of its proper divisors (86342253364).

101141320004 is a wasteful number, since it uses less digits than its factorization.

101141320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592535 (or 592533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101141320004 its reverse (400023141101), we get a palindrome (501164461105).

The spelling of 101141320004 in words is "one hundred one billion, one hundred forty-one million, three hundred twenty thousand, four".