102004044242100 has 1728 divisors, whose sum is σ = 413105740540416. Its totient is φ = 18896486400000.

The previous prime is 102004044242069. The next prime is 102004044242143. The reversal of 102004044242100 is 1242440400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13678961572 + ... + 13678969028.

It is an arithmetic number, because the mean of its divisors is an integer number (239065822072).

Almost surely, 2^{102004044242100} is an apocalyptic number.

102004044242100 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 102004044242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206552870270208).

102004044242100 is an abundant number, since it is smaller than the sum of its proper divisors (311101696298316).

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

102004044242100 is a wasteful number, since it uses less digits than its factorization.

102004044242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102004044242100 its reverse (1242440400201), we get a palindrome (103246484642301).

The spelling of 102004044242100 in words is "one hundred two trillion, four billion, forty-four million, two hundred forty-two thousand, one hundred".