202122120200057 has 2 divisors, whose sum is σ = 202122120200058. Its totient is φ = 202122120200056.

The previous prime is 202122120200017. The next prime is 202122120200107. The reversal of 202122120200057 is 750002021221202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142085827840576 + 60036292359481 = 11919976^2 + 7748309^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122120200057 - 2¹⁶ = 202122120134521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202122120199999 and 202122120200035.

It is not a weakly prime, because it can be changed into another prime (202122120200017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061060100028 + 101061060100029.

It is an arithmetic number, because the mean of its divisors is an integer number (101061060100029).

Almost surely, 2^{202122120200057} is an apocalyptic number.

It is an amenable number.

202122120200057 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122120200057 is an equidigital number, since it uses as much as digits as its factorization.

202122120200057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 202122120200057 its reverse (750002021221202), we get a palindrome (952124141421259).

The spelling of 202122120200057 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred thousand, fifty-seven".