101122222221001 has 2 divisors, whose sum is σ = 101122222221002. Its totient is φ = 101122222221000.

The previous prime is 101122222220993. The next prime is 101122222221011. The reversal of 101122222221001 is 100122222221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95008590145225 + 6113632075776 = 9747235^2 + 2472576^2 .

It is an emirp because it is prime and its reverse (100122222221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122222221001 - 2³ = 101122222220993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122222221001.

It is not a weakly prime, because it can be changed into another prime (101122222221011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561111110500 + 50561111110501.

It is an arithmetic number, because the mean of its divisors is an integer number (50561111110501).

Almost surely, 2^{101122222221001} is an apocalyptic number.

It is an amenable number.

101122222221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122222221001 is an equidigital number, since it uses as much as digits as its factorization.

101122222221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101122222221001 its reverse (100122222221101), we get a palindrome (201244444442102).

The spelling of 101122222221001 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, one".