102202212021120 has 768 divisors, whose sum is σ = 362946355200000. Its totient is φ = 26490244644864.

The previous prime is 102202212021061. The next prime is 102202212021187. The reversal of 102202212021120 is 21120212202201.

It is a happy number.

102202212021120 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 212 + 0 + 211 + 20 = 666.

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 = 102202212021093 and 102202212021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14519418561 + ... + 14519425599.

It is an arithmetic number, because the mean of its divisors is an integer number (472586400000).

Almost surely, 2^{102202212021120} is an apocalyptic number.

102202212021120 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 102202212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181473177600000).

102202212021120 is an abundant number, since it is smaller than the sum of its proper divisors (260744143178880).

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

102202212021120 is a wasteful number, since it uses less digits than its factorization.

102202212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7540 counting only the distinct ones).

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

Adding to 102202212021120 its reverse (21120212202201), we get a palindrome (123322424223321).

The spelling of 102202212021120 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, twenty-one thousand, one hundred twenty".