10200212002002 has 288 divisors, whose sum is σ = 24106301803584. Its totient is φ = 2852903116800.

The previous prime is 10200212001989. The next prime is 10200212002021. The reversal of 10200212002002 is 20020021200201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27346412688 + ... + 27346413060.

It is an arithmetic number, because the mean of its divisors is an integer number (83702436818).

Almost surely, 2^{10200212002002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200212002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053150901792).

10200212002002 is an abundant number, since it is smaller than the sum of its proper divisors (13906089801582).

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

10200212002002 is a wasteful number, since it uses less digits than its factorization.

10200212002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 676 counting only the distinct ones).

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

Adding to 10200212002002 its reverse (20020021200201), we get a palindrome (30220233202203).

The spelling of 10200212002002 in words is "ten trillion, two hundred billion, two hundred twelve million, two thousand, two".