201429116300 has 36 divisors (see below), whose sum is σ = 438525031560. Its totient is φ = 80309185920.

The previous prime is 201429116293. The next prime is 201429116311. The reversal of 201429116300 is 3611924102.

201429116300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 3249905 + ... + 3311304.

Almost surely, 2^201429116300 is an apocalyptic number.

201429116300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201429116300 is an abundant number, since it is smaller than the sum of its proper divisors (237095915260).

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

201429116300 is a wasteful number, since it uses less digits than its factorization.

201429116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561530 (or 6561523 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 201429116300 in words is "two hundred one billion, four hundred twenty-nine million, one hundred sixteen thousand, three hundred".