102038350053120 has 576 divisors, whose sum is σ = 369708464025600. Its totient is φ = 23776873021440.

The previous prime is 102038350053119. The next prime is 102038350053149. The reversal of 102038350053120 is 21350053830201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252901361 + ... + 1252982799.

Almost surely, 2^{102038350053120} is an apocalyptic number.

102038350053120 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 102038350053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184854232012800).

102038350053120 is an abundant number, since it is smaller than the sum of its proper divisors (267670113972480).

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

102038350053120 is a wasteful number, since it uses less digits than its factorization.

102038350053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82816 (or 82802 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 102038350053120 in words is "one hundred two trillion, thirty-eight billion, three hundred fifty million, fifty-three thousand, one hundred twenty".