102234363432201 has 675 divisors, whose sum is σ = 210832008127923. Its totient is φ = 47698512301440.

The previous prime is 102234363432107. The next prime is 102234363432293.

The square root of 102234363432201 is 10111101.

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

102234363432201 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 34 + 363 + 43 + 220 + 1 = 666.

102234363432201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 7 ways, for example, as 82143134991225 + 20091228440976 = 9063285^2 + 4482324^2 .

It is not a de Polignac number, because 102234363432201 - 2²³ = 102234355043593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102234363432601) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 2763090903555 + ... + 2763090903591.

Almost surely, 2^{102234363432201} is an apocalyptic number.

102234363432201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102234363432201 is the 10111101-st square number.

102234363432201 is the 5055551-st centered octagonal number.

It is an amenable number.

102234363432201 is an abundant number, since it is smaller than the sum of its proper divisors (108597644695722).

102234363432201 is an frugal number, since it uses more digits than its factorization.

102234363432201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 102234363432201 in words is "one hundred two trillion, two hundred thirty-four billion, three hundred sixty-three million, four hundred thirty-two thousand, two hundred one".