1022210123201 has 2 divisors, whose sum is σ = 1022210123202. Its totient is φ = 1022210123200.

The previous prime is 1022210123197. The next prime is 1022210123203. The reversal of 1022210123201 is 1023210122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 944006560000 + 78203563201 = 971600^2 + 279649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022210123201 - 2² = 1022210123197 is a prime.

Together with 1022210123203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022210123201.

It is not a weakly prime, because it can be changed into another prime (1022210123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511105061600 + 511105061601.

It is an arithmetic number, because the mean of its divisors is an integer number (511105061601).

Almost surely, 2^{1022210123201} is an apocalyptic number.

It is an amenable number.

1022210123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022210123201 is an equidigital number, since it uses as much as digits as its factorization.

1022210123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1022210123201 its reverse (1023210122201), we get a palindrome (2045420245402).

It can be divided in two parts, 1022210 and 123201, that added together give a palindrome (1145411).

The spelling of 1022210123201 in words is "one trillion, twenty-two billion, two hundred ten million, one hundred twenty-three thousand, two hundred one".