102643346201 has 16 divisors (see below), whose sum is σ = 120375797760. Its totient is φ = 86520088080.

The previous prime is 102643346191. The next prime is 102643346233.

102643346201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102643346201 is a prime.

It is a super-2 number, since 2×102643346201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102643346501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214821 + ... + 5234466.

It is an arithmetic number, because the mean of its divisors is an integer number (7523487360).

Almost surely, 2^102643346201 is an apocalyptic number.

102643346201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102643346201 is a deficient number, since it is larger than the sum of its proper divisors (17732451559).

102643346201 is a wasteful number, since it uses less digits than its factorization.

102643346201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449364.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 102643 and 346201, that added together give a palindrome (448844).

The spelling of 102643346201 in words is "one hundred two billion, six hundred forty-three million, three hundred forty-six thousand, two hundred one".