102208729401 has 27 divisors (see below), whose sum is σ = 150180715503. Its totient is φ = 66983753520.

The previous prime is 102208729361. The next prime is 102208729411. The reversal of 102208729401 is 104927802201.

The square root of 102208729401 is 319701.

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

102208729401 is a `hidden beast` number, since 1 + 0 + 220 + 8 + 7 + 29 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3323637801 + 98885091600 = 57651^2 + 314460^2 .

It is not a de Polignac number, because 102208729401 - 2⁹ = 102208728889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102208729411) 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, 58504410 + ... + 58506156.

Almost surely, 2^102208729401 is an apocalyptic number.

102208729401 is the 319701-st square number.

102208729401 is the 159851-st centered octagonal number.

It is an amenable number.

102208729401 is a deficient number, since it is larger than the sum of its proper divisors (47971986102).

102208729401 is an frugal number, since it uses more digits than its factorization.

102208729401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 102208729401 by its sum of digits (36), we get a square (3679514258436 = 1918206²).

The spelling of 102208729401 in words is "one hundred two billion, two hundred eight million, seven hundred twenty-nine thousand, four hundred one".