10202122101121 has 4 divisors (see below), whose sum is σ = 10295719551700. Its totient is φ = 10108524650544.

The previous prime is 10202122101103. The next prime is 10202122101131. The reversal of 10202122101121 is 12110122120201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9358827008400 + 843295092721 = 3059220^2 + 918311^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202122101121 - 2⁷ = 10202122100993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202122101095 and 10202122101104.

It is not an unprimeable number, because it can be changed into a prime (10202122101131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46798725126 + ... + 46798725343.

It is an arithmetic number, because the mean of its divisors is an integer number (2573929887925).

Almost surely, 2^{10202122101121} is an apocalyptic number.

It is an amenable number.

10202122101121 is a deficient number, since it is larger than the sum of its proper divisors (93597450579).

10202122101121 is an equidigital number, since it uses as much as digits as its factorization.

10202122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93597450578.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10202122101121 its reverse (12110122120201), we get a palindrome (22312244221322).

The spelling of 10202122101121 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".