101022122501 has 2 divisors, whose sum is σ = 101022122502. Its totient is φ = 101022122500.

The previous prime is 101022122489. The next prime is 101022122503. The reversal of 101022122501 is 105221220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87586994401 + 13435128100 = 295951^2 + 115910^2 .

It is an emirp because it is prime and its reverse (105221220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022122501 - 2⁶ = 101022122437 is a prime.

Together with 101022122503, 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 101022122501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022122503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511061250 + 50511061251.

It is an arithmetic number, because the mean of its divisors is an integer number (50511061251).

Almost surely, 2^101022122501 is an apocalyptic number.

It is an amenable number.

101022122501 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022122501 is an equidigital number, since it uses as much as digits as its factorization.

101022122501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 101022122501 its reverse (105221220101), we get a palindrome (206243342602).

The spelling of 101022122501 in words is "one hundred one billion, twenty-two million, one hundred twenty-two thousand, five hundred one".