10200212121101 has 8 divisors (see below), whose sum is σ = 10206628601400. Its totient is φ = 10193795958528.

The previous prime is 10200212121041. The next prime is 10200212121139. The reversal of 10200212121101 is 10112121200201.

It can be written as a sum of positive squares in 4 ways, for example, as 3234566280100 + 6965645841001 = 1798490^2 + 2639251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10200212121101 - 2⁶ = 10200212121037 is a prime.

It is a super-2 number, since 2×10200212121101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200212121401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122326115 + ... + 122409471.

It is an arithmetic number, because the mean of its divisors is an integer number (1275828575175).

Almost surely, 2^{10200212121101} is an apocalyptic number.

It is an amenable number.

10200212121101 is a deficient number, since it is larger than the sum of its proper divisors (6416480299).

10200212121101 is an equidigital number, since it uses as much as digits as its factorization.

10200212121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158863.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10200212121101 its reverse (10112121200201), we get a palindrome (20312333321302).

The spelling of 10200212121101 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred twenty-one thousand, one hundred one".