102002010221120 has 56 divisors (see below), whose sum is σ = 251267882959800. Its totient is φ = 39393879805952.

The previous prime is 102002010221101. The next prime is 102002010221161. The reversal of 102002010221120 is 21122010200201.

It can be written as a sum of positive squares in 4 ways, for example, as 8824844600896 + 93177165620224 = 2970664^2 + 9652832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002010221095 and 102002010221104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5495788685 + ... + 5495807244.

It is an arithmetic number, because the mean of its divisors is an integer number (4486926481425).

Almost surely, 2^{102002010221120} is an apocalyptic number.

102002010221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002010221120 is an abundant number, since it is smaller than the sum of its proper divisors (149265872738680).

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

102002010221120 is a wasteful number, since it uses less digits than its factorization.

102002010221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991595975 (or 10991595965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002010221120 its reverse (21122010200201), we get a palindrome (123124020421321).

The spelling of 102002010221120 in words is "one hundred two trillion, two billion, ten million, two hundred twenty-one thousand, one hundred twenty".