102753357201 has 12 divisors (see below), whose sum is σ = 161914381200. Its totient is φ = 62274761880.

The previous prime is 102753357197. The next prime is 102753357229.

It is a happy number.

102753357201 is a `hidden beast` number, since 10 + 2 + 75 + 3 + 3 + 572 + 0 + 1 = 666.

102753357201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102753357201 - 2² = 102753357197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102753357251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518956251 + ... + 518956448.

It is an arithmetic number, because the mean of its divisors is an integer number (13492865100).

Almost surely, 2^102753357201 is an apocalyptic number.

102753357201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102753357201 is a deficient number, since it is larger than the sum of its proper divisors (59161023999).

102753357201 is a wasteful number, since it uses less digits than its factorization.

102753357201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037912716 (or 1037912713 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

It can be divided in two parts, 102753 and 357201, that added together give a palindrome (459954).

The spelling of 102753357201 in words is "one hundred two billion, seven hundred fifty-three million, three hundred fifty-seven thousand, two hundred one".