102212202000 has 320 divisors, whose sum is σ = 335298682368. Its totient is φ = 26784000000.

The previous prime is 102212201999. The next prime is 102212202049. The reversal of 102212202000 is 202212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 91505442 + ... + 91506558.

Almost surely, 2^102212202000 is an apocalyptic number.

102212202000 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 102212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167649341184).

102212202000 is an abundant number, since it is smaller than the sum of its proper divisors (233086480368).

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

102212202000 is a wasteful number, since it uses less digits than its factorization.

102212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102212202000 its reverse (202212201), we get a palindrome (102414414201).

The spelling of 102212202000 in words is "one hundred two billion, two hundred twelve million, two hundred two thousand".