102212002002000 has 1280 divisors, whose sum is σ = 389775194505216. Its totient is φ = 22767575040000.

The previous prime is 102212002001947. The next prime is 102212002002007. The reversal of 102212002002000 is 200200212201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212002002007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8205179772 + ... + 8205192228.

Almost surely, 2^{102212002002000} is an apocalyptic number.

102212002002000 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 102212002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194887597252608).

102212002002000 is an abundant number, since it is smaller than the sum of its proper divisors (287563192503216).

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

102212002002000 is a wasteful number, since it uses less digits than its factorization.

102212002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12685 (or 12669 counting only the distinct ones).

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

Adding to 102212002002000 its reverse (200200212201), we get a palindrome (102412202214201).

The spelling of 102212002002000 in words is "one hundred two trillion, two hundred twelve billion, two million, two thousand".