102352253201 has 8 divisors (see below), whose sum is σ = 113229638208. Its totient is φ = 91736974000.

The previous prime is 102352253119. The next prime is 102352253219.

It is a happy number.

102352253201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102352253201 - 2²⁶ = 102285144337 is a prime.

It is a super-2 number, since 2×102352253201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102352253231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65525630 + ... + 65527191.

It is an arithmetic number, because the mean of its divisors is an integer number (14153704776).

Almost surely, 2^102352253201 is an apocalyptic number.

102352253201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102352253201 is a deficient number, since it is larger than the sum of its proper divisors (10877385007).

102352253201 is a wasteful number, since it uses less digits than its factorization.

102352253201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131052903.

The product of its (nonzero) digits is 3600, while the sum is 26.

It can be divided in two parts, 102352 and 253201, that added together give a palindrome (355553).

The spelling of 102352253201 in words is "one hundred two billion, three hundred fifty-two million, two hundred fifty-three thousand, two hundred one".