102202221120 has 224 divisors, whose sum is σ = 351572462208. Its totient is φ = 25054052352.

The previous prime is 102202221089. The next prime is 102202221127. The reversal of 102202221120 is 21122202201.

It is a super-2 number, since 2×102202221120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102202221120.

It is not an unprimeable number, because it can be changed into a prime (102202221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628942 + ... + 774578.

Almost surely, 2^102202221120 is an apocalyptic number.

102202221120 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 102202221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175786231104).

102202221120 is an abundant number, since it is smaller than the sum of its proper divisors (249370241088).

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

102202221120 is a wasteful number, since it uses less digits than its factorization.

102202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145717 (or 145707 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202221120 its reverse (21122202201), we get a palindrome (123324423321).

The spelling of 102202221120 in words is "one hundred two billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".