1022312101 has 2 divisors, whose sum is σ = 1022312102. Its totient is φ = 1022312100.

The previous prime is 1022312099. The next prime is 1022312107. The reversal of 1022312101 is 1012132201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 875272225 + 147039876 = 29585^2 + 12126^2 .

It is an emirp because it is prime and its reverse (1012132201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022312101 - 2¹ = 1022312099 is a prime.

Together with 1022312099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022312107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511156050 + 511156051.

It is an arithmetic number, because the mean of its divisors is an integer number (511156051).

Almost surely, 2^1022312101 is an apocalyptic number.

It is an amenable number.

1022312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022312101 is an equidigital number, since it uses as much as digits as its factorization.

1022312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1022312101 is about 31973.6157010745. The cubic root of 1022312101 is about 1007.3827281934.

Adding to 1022312101 its reverse (1012132201), we get a palindrome (2034444302).

The spelling of 1022312101 in words is "one billion, twenty-two million, three hundred twelve thousand, one hundred one".