10121220202057 has 2 divisors, whose sum is σ = 10121220202058. Its totient is φ = 10121220202056.

The previous prime is 10121220201977. The next prime is 10121220202081. The reversal of 10121220202057 is 75020202212101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10068842844736 + 52377357321 = 3173144^2 + 228861^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121220202057 - 2²⁷ = 10121085984329 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121220202757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060610101028 + 5060610101029.

It is an arithmetic number, because the mean of its divisors is an integer number (5060610101029).

Almost surely, 2^{10121220202057} is an apocalyptic number.

It is an amenable number.

10121220202057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121220202057 is an equidigital number, since it uses as much as digits as its factorization.

10121220202057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 10121220202057 its reverse (75020202212101), we get a palindrome (85141422414158).

The spelling of 10121220202057 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, two hundred two thousand, fifty-seven".