201367168352100 has 243 divisors, whose sum is σ = 655454246576857. Its totient is φ = 53694846436320.

The previous prime is 201367168352081. The next prime is 201367168352137. The reversal of 201367168352100 is 1253861763102.

It is a happy number.

The square root of 201367168352100 is 14190390.

It is a perfect power (a square), and thus also a powerful number.

201367168352100 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 67 + 1 + 68 + 3 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72492180606756 + 128874987745344 = 8514234^2 + 11352312^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11494207141 + ... + 11494224659.

Almost surely, 2^{201367168352100} is an apocalyptic number.

201367168352100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201367168352100 is the 14190390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201367168352100

201367168352100 is an abundant number, since it is smaller than the sum of its proper divisors (454087078224757).

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

201367168352100 is an frugal number, since it uses more digits than its factorization.

201367168352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35076 (or 17529 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 201367168352100 in words is "two hundred one trillion, three hundred sixty-seven billion, one hundred sixty-eight million, three hundred fifty-two thousand, one hundred".