10202112012121 has 16 divisors (see below), whose sum is σ = 10350936760320. Its totient is φ = 10054245692800.

The previous prime is 10202112012107. The next prime is 10202112012163. The reversal of 10202112012121 is 12121021120201.

It is a cyclic number.

It is not a de Polignac number, because 10202112012121 - 2⁵ = 10202112012089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202112012095 and 10202112012104.

It is not an unprimeable number, because it can be changed into a prime (10202112010121) 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, 102135720 + ... + 102235558.

It is an arithmetic number, because the mean of its divisors is an integer number (646933547520).

Almost surely, 2^{10202112012121} is an apocalyptic number.

It is an amenable number.

10202112012121 is a deficient number, since it is larger than the sum of its proper divisors (148824748199).

10202112012121 is a wasteful number, since it uses less digits than its factorization.

10202112012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104624.

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

Adding to 10202112012121 its reverse (12121021120201), we get a palindrome (22323133132322).

The spelling of 10202112012121 in words is "ten trillion, two hundred two billion, one hundred twelve million, twelve thousand, one hundred twenty-one".