102002000200212 has 192 divisors, whose sum is σ = 292328451588096. Its totient is φ = 27017481553920.

The previous prime is 102002000200201. The next prime is 102002000200237. The reversal of 102002000200212 is 212002000200201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1380663418 + ... + 1380737294.

It is an arithmetic number, because the mean of its divisors is an integer number (1522544018688).

Almost surely, 2^{102002000200212} is an apocalyptic number.

102002000200212 is a gapful number since it is divisible by the number (12) 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 102002000200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146164225794048).

102002000200212 is an abundant number, since it is smaller than the sum of its proper divisors (190326451387884).

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

102002000200212 is a wasteful number, since it uses less digits than its factorization.

102002000200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88406 (or 88404 counting only the distinct ones).

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

Adding to 102002000200212 its reverse (212002000200201), we get a palindrome (314004000400413).

The spelling of 102002000200212 in words is "one hundred two trillion, two billion, two hundred thousand, two hundred twelve".