101006442236144 has 40 divisors (see below), whose sum is σ = 196056866700288. Its totient is φ = 50411165146560.

The previous prime is 101006442236111. The next prime is 101006442236159. The reversal of 101006442236144 is 441632244600101.

It is a junction number, because it is equal to n+sod(n) for n = 101006442236098 and 101006442236107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35987129 + ... + 38692199.

Almost surely, 2^{101006442236144} is an apocalyptic number.

It is an amenable number.

101006442236144 is a deficient number, since it is larger than the sum of its proper divisors (95050424464144).

101006442236144 is a wasteful number, since it uses less digits than its factorization.

101006442236144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709333 (or 2709327 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

Adding to 101006442236144 its reverse (441632244600101), we get a palindrome (542638686836245).

The spelling of 101006442236144 in words is "one hundred one trillion, six billion, four hundred forty-two million, two hundred thirty-six thousand, one hundred forty-four".