10202200000121 has 8 divisors (see below), whose sum is σ = 10255155013320. Its totient is φ = 10149245955072.

The previous prime is 10202200000093. The next prime is 10202200000211. The reversal of 10202200000121 is 12100000220201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15666026896 + 10186533973225 = 125164^2 + 3191635^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10202200000121 is a prime.

It is a super-3 number, since 3×10202200000121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202200000021) 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, 31997675 + ... + 32314943.

It is an arithmetic number, because the mean of its divisors is an integer number (1281894376665).

Almost surely, 2^{10202200000121} is an apocalyptic number.

It is an amenable number.

10202200000121 is a deficient number, since it is larger than the sum of its proper divisors (52955013199).

10202200000121 is a wasteful number, since it uses less digits than its factorization.

10202200000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484075.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202200000121 its reverse (12100000220201), we get a palindrome (22302200220322).

The spelling of 10202200000121 in words is "ten trillion, two hundred two billion, two hundred million, one hundred twenty-one", and thus it is an aban number.