102128224434201 has 27 divisors (see below), whose sum is σ = 171603563635413. Its totient is φ = 58358864120760.

The previous prime is 102128224434191. The next prime is 102128224434251. The reversal of 102128224434201 is 102434422821201.

The square root of 102128224434201 is 10105851.

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

102128224434201 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 8 + 2 + 2 + 443 + 4 + 201 = 666.

It is not a de Polignac number, because 102128224434201 - 2¹¹ = 102128224432153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102128224434251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211982256 + ... + 212463486.

Almost surely, 2^{102128224434201} is an apocalyptic number.

102128224434201 is the 10105851-st square number.

102128224434201 is the 5052926-th centered octagonal number.

It is an amenable number.

102128224434201 is a deficient number, since it is larger than the sum of its proper divisors (69475339201212).

102128224434201 is an frugal number, since it uses more digits than its factorization.

102128224434201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962482 (or 481241 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 102128224434201 in words is "one hundred two trillion, one hundred twenty-eight billion, two hundred twenty-four million, four hundred thirty-four thousand, two hundred one".