101042344032144 has 80 divisors (see below), whose sum is σ = 261099534328128. Its totient is φ = 33671301636096.

The previous prime is 101042344032137. The next prime is 101042344032151. The reversal of 101042344032144 is 441230443240101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101042344032137) and next prime (101042344032151).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4193138304 + ... + 4193162400.

Almost surely, 2^{101042344032144} is an apocalyptic number.

It is an amenable number.

101042344032144 is an abundant number, since it is smaller than the sum of its proper divisors (160057190295984).

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

101042344032144 is a wasteful number, since it uses less digits than its factorization.

101042344032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45072 (or 45066 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 101042344032144 its reverse (441230443240101), we get a palindrome (542272787272245).

The spelling of 101042344032144 in words is "one hundred one trillion, forty-two billion, three hundred forty-four million, thirty-two thousand, one hundred forty-four".