2101022221601 has 2 divisors, whose sum is σ = 2101022221602. Its totient is φ = 2101022221600.

The previous prime is 2101022221553. The next prime is 2101022221609. The reversal of 2101022221601 is 1061222201012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2082999427600 + 18022794001 = 1443260^2 + 134249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101022221601 is a prime.

It is a super-2 number, since 2×2101022221601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2101022221609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050511110800 + 1050511110801.

It is an arithmetic number, because the mean of its divisors is an integer number (1050511110801).

Almost surely, 2^{2101022221601} is an apocalyptic number.

It is an amenable number.

2101022221601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101022221601 is an equidigital number, since it uses as much as digits as its factorization.

2101022221601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2101022221601 its reverse (1061222201012), we get a palindrome (3162244422613).

The spelling of 2101022221601 in words is "two trillion, one hundred one billion, twenty-two million, two hundred twenty-one thousand, six hundred one".