10205322123144 has 32 divisors (see below), whose sum is σ = 26622579453120. Its totient is φ = 3253870821696.

The previous prime is 10205322123137. The next prime is 10205322123233. The reversal of 10205322123144 is 44132122350201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9243950647 + ... + 9243951750.

It is an arithmetic number, because the mean of its divisors is an integer number (831955607910).

Almost surely, 2^{10205322123144} is an apocalyptic number.

It is an amenable number.

10205322123144 is an abundant number, since it is smaller than the sum of its proper divisors (16417257329976).

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

10205322123144 is a wasteful number, since it uses less digits than its factorization.

10205322123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487902429 (or 18487902425 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10205322123144 its reverse (44132122350201), we get a palindrome (54337444473345).

The spelling of 10205322123144 in words is "ten trillion, two hundred five billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred forty-four".