10200212101001 has 16 divisors (see below), whose sum is σ = 11479460745984. Its totient is φ = 9000940765824.

The previous prime is 10200212100983. The next prime is 10200212101031. The reversal of 10200212101001 is 10010121200201.

It is a cyclic number.

It is not a de Polignac number, because 10200212101001 - 2¹⁰ = 10200212099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200212101031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194093396 + ... + 194145941.

It is an arithmetic number, because the mean of its divisors is an integer number (717466296624).

Almost surely, 2^{10200212101001} is an apocalyptic number.

It is an amenable number.

10200212101001 is a deficient number, since it is larger than the sum of its proper divisors (1279248644983).

10200212101001 is a wasteful number, since it uses less digits than its factorization.

10200212101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388239440.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200212101001 its reverse (10010121200201), we get a palindrome (20210333301202).

The spelling of 10200212101001 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred one thousand, one".