102228480000 has 1300 divisors, whose sum is σ = 417991153140. Its totient is φ = 24772608000.

The previous prime is 102228479989. The next prime is 102228480043. The reversal of 102228480000 is 84822201.

It can be written as a sum of positive squares in 10 ways, for example, as 63649234944 + 38579245056 = 252288^2 + 196416^2 .

It is a super-2 number, since 2×102228480000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3525119986 + ... + 3525120014.

Almost surely, 2^102228480000 is an apocalyptic number.

102228480000 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 102228480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208995576570).

102228480000 is an abundant number, since it is smaller than the sum of its proper divisors (315762673140).

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

102228480000 is an frugal number, since it uses more digits than its factorization.

102228480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 102228480000 in words is "one hundred two billion, two hundred twenty-eight million, four hundred eighty thousand".