10202121133201 has 16 divisors (see below), whose sum is σ = 10551412040400. Its totient is φ = 9857693260800.

The previous prime is 10202121133189. The next prime is 10202121133249. The reversal of 10202121133201 is 10233112120201.

It can be written as a sum of positive squares in 8 ways, for example, as 175246890625 + 10026874242576 = 418625^2 + 3166524^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202121133201 - 2³⁷ = 10064682179729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202121131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9824581 + ... + 10813261.

It is an arithmetic number, because the mean of its divisors is an integer number (659463252525).

Almost surely, 2^{10202121133201} is an apocalyptic number.

It is an amenable number.

10202121133201 is a deficient number, since it is larger than the sum of its proper divisors (349290907199).

10202121133201 is a wasteful number, since it uses less digits than its factorization.

10202121133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991140.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10202121133201 its reverse (10233112120201), we get a palindrome (20435233253402).

The spelling of 10202121133201 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred one".