1022100002057 has 2 divisors, whose sum is σ = 1022100002058. Its totient is φ = 1022100002056.

The previous prime is 1022100001987. The next prime is 1022100002071. The reversal of 1022100002057 is 7502000012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 883193966656 + 138906035401 = 939784^2 + 372701^2 .

It is an emirp because it is prime and its reverse (7502000012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022100002057 - 2¹⁶ = 1022099936521 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022100002557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050001028 + 511050001029.

It is an arithmetic number, because the mean of its divisors is an integer number (511050001029).

Almost surely, 2^{1022100002057} is an apocalyptic number.

It is an amenable number.

1022100002057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100002057 is an equidigital number, since it uses as much as digits as its factorization.

1022100002057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 1022100002057 its reverse (7502000012201), we get a palindrome (8524100014258).

The spelling of 1022100002057 in words is "one trillion, twenty-two billion, one hundred million, two thousand, fifty-seven".