102002112221220 has 36 divisors (see below), whose sum is σ = 309406407071580. Its totient is φ = 27200563258944.

The previous prime is 102002112221189. The next prime is 102002112221231. The reversal of 102002112221220 is 22122211200201.

It is a happy number.

102002112221220 is a `hidden beast` number, since 1 + 0 + 200 + 21 + 1 + 2 + 221 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41382433994724 + 60619678226496 = 6432918^2 + 7785864^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102002112221193 and 102002112221202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283339200435 + ... + 283339200794.

It is an arithmetic number, because the mean of its divisors is an integer number (8594622418655).

Almost surely, 2^{102002112221220} is an apocalyptic number.

102002112221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002112221220 is an abundant number, since it is smaller than the sum of its proper divisors (207404294850360).

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

102002112221220 is a wasteful number, since it uses less digits than its factorization.

102002112221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566678401244 (or 566678401239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102002112221220 its reverse (22122211200201), we get a palindrome (124124323421421).

The spelling of 102002112221220 in words is "one hundred two trillion, two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".