10202121211121 has 6 divisors (see below), whose sum is σ = 11867773653810. Its totient is φ = 8744675323776.

The previous prime is 10202121211063. The next prime is 10202121211153. The reversal of 10202121211121 is 12111212120201.

It can be written as a sum of positive squares in only one way, i.e., 9480579693025 + 721541518096 = 3079055^2 + 849436^2 .

It is not a de Polignac number, because 10202121211121 - 2¹⁰ = 10202121210097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202121211121.

It is not an unprimeable number, because it can be changed into a prime (10202121231121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104103277616 + ... + 104103277713.

It is an arithmetic number, because the mean of its divisors is an integer number (1977962275635).

Almost surely, 2^{10202121211121} is an apocalyptic number.

It is an amenable number.

10202121211121 is a deficient number, since it is larger than the sum of its proper divisors (1665652442689).

10202121211121 is an equidigital number, since it uses as much as digits as its factorization.

10202121211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208206555343 (or 208206555336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10202121211121 its reverse (12111212120201), we get a palindrome (22313333331322).

The spelling of 10202121211121 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".