10200212101002 has 144 divisors (see below), whose sum is σ = 26157295604160. Its totient is φ = 2642022472320.

The previous prime is 10200212100983. The next prime is 10200212101031. The reversal of 10200212101002 is 20010121200201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12371718 + ... + 13170414.

It is an arithmetic number, because the mean of its divisors is an integer number (181647886140).

Almost surely, 2^{10200212101002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200212101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078647802080).

10200212101002 is an abundant number, since it is smaller than the sum of its proper divisors (15957083503158).

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

10200212101002 is a wasteful number, since it uses less digits than its factorization.

10200212101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799097 (or 799079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200212101002 its reverse (20010121200201), we get a palindrome (30210333301203).

The spelling of 10200212101002 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred one thousand, two".