10201434606160 has 80 divisors (see below), whose sum is σ = 27145898301312. Its totient is φ = 3492572889600.

The previous prime is 10201434606119. The next prime is 10201434606179. The reversal of 10201434606160 is 6160643410201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12794551 + ... + 13568470.

Almost surely, 2^{10201434606160} is an apocalyptic number.

10201434606160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201434606160 is an abundant number, since it is smaller than the sum of its proper divisors (16944463695152).

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

10201434606160 is a wasteful number, since it uses less digits than its factorization.

10201434606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26363732 (or 26363726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10201434606160 in words is "ten trillion, two hundred one billion, four hundred thirty-four million, six hundred six thousand, one hundred sixty".