102141470720 has 384 divisors, whose sum is σ = 273729456000. Its totient is φ = 36415733760.

The previous prime is 102141470713. The next prime is 102141470747. The reversal of 102141470720 is 27074141201.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242616110 + ... + 242616530.

It is an arithmetic number, because the mean of its divisors is an integer number (712837125).

Almost surely, 2^102141470720 is an apocalyptic number.

102141470720 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 102141470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136864728000).

102141470720 is an abundant number, since it is smaller than the sum of its proper divisors (171587985280).

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

102141470720 is a wasteful number, since it uses less digits than its factorization.

102141470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 102141470720 in words is "one hundred two billion, one hundred forty-one million, four hundred seventy thousand, seven hundred twenty".