102434434201 has 48 divisors (see below), whose sum is σ = 123340320000. Its totient is φ = 84250019840.

The previous prime is 102434434189. The next prime is 102434434213.

102434434201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102434434189) and next prime (102434434213).

It is not a de Polignac number, because 102434434201 - 2¹³ = 102434426009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102434434201.

It is not an unprimeable number, because it can be changed into a prime (102434434231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22031325 + ... + 22035973.

It is an arithmetic number, because the mean of its divisors is an integer number (2569590000).

Almost surely, 2^102434434201 is an apocalyptic number.

102434434201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102434434201 is a deficient number, since it is larger than the sum of its proper divisors (20905885799).

102434434201 is a wasteful number, since it uses less digits than its factorization.

102434434201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 102434 and 434201, that added together give a palindrome (536635).

The spelling of 102434434201 in words is "one hundred two billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred one".