10201012342434 has 64 divisors (see below), whose sum is σ = 24293832871680. Its totient is φ = 3164591358720.

The previous prime is 10201012342427. The next prime is 10201012342441. The reversal of 10201012342434 is 43424321010201.

10201012342434 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 1 + 2 + 3 + 424 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (10201012342427) and next prime (10201012342441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10201012342398 and 10201012342407.

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 31 ways as a sum of consecutive naturals, for example, 110945607 + ... + 111037514.

It is an arithmetic number, because the mean of its divisors is an integer number (379591138620).

Almost surely, 2^{10201012342434} is an apocalyptic number.

10201012342434 is an abundant number, since it is smaller than the sum of its proper divisors (14092820529246).

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

10201012342434 is a wasteful number, since it uses less digits than its factorization.

10201012342434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221983192 (or 221983186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10201012342434 its reverse (43424321010201), we get a palindrome (53625333352635).

The spelling of 10201012342434 in words is "ten trillion, two hundred one billion, twelve million, three hundred forty-two thousand, four hundred thirty-four".