102212202202000 has 640 divisors, whose sum is σ = 275095189923840. Its totient is φ = 36422758400000.

The previous prime is 102212202201979. The next prime is 102212202202013. The reversal of 102212202202000 is 202202212201.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 127 ways as a sum of consecutive naturals, for example, 104618425512 + ... + 104618426488.

It is an arithmetic number, because the mean of its divisors is an integer number (429836234256).

Almost surely, 2^{102212202202000} is an apocalyptic number.

102212202202000 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 102212202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137547594961920).

102212202202000 is an abundant number, since it is smaller than the sum of its proper divisors (172882987721840).

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

102212202202000 is a wasteful number, since it uses less digits than its factorization.

102212202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102212202202000 its reverse (202202212201), we get a palindrome (102414404414201).

The spelling of 102212202202000 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, two hundred two thousand".