102433403410100 has 144 divisors (see below), whose sum is σ = 254451289991808. Its totient is φ = 35062483599360.

The previous prime is 102433403410087. The next prime is 102433403410103. The reversal of 102433403410100 is 1014304334201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102433403410100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102433403410103) 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, 1560666884 + ... + 1560732516.

Almost surely, 2^{102433403410100} is an apocalyptic number.

102433403410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102433403410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127225644995904).

102433403410100 is an abundant number, since it is smaller than the sum of its proper divisors (152017886581708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102433403410100 is a wasteful number, since it uses less digits than its factorization.

102433403410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69274 (or 69267 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 102433403410100 its reverse (1014304334201), we get a palindrome (103447707744301).

The spelling of 102433403410100 in words is "one hundred two trillion, four hundred thirty-three billion, four hundred three million, four hundred ten thousand, one hundred".