202122101120101 has 2 divisors, whose sum is σ = 202122101120102. Its totient is φ = 202122101120100.

The previous prime is 202122101120089. The next prime is 202122101120143. The reversal of 202122101120101 is 101021101221202.

202122101120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173259698724225 + 28862402395876 = 13162815^2 + 5372374^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122101120101 - 2³⁷ = 201984662166629 is a prime.

It is a super-2 number, since 2×202122101120101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202122101120501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061050560050 + 101061050560051.

It is an arithmetic number, because the mean of its divisors is an integer number (101061050560051).

Almost surely, 2^{202122101120101} is an apocalyptic number.

It is an amenable number.

202122101120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122101120101 is an equidigital number, since it uses as much as digits as its factorization.

202122101120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202122101120101 its reverse (101021101221202), we get a palindrome (303143202341303).

It can be divided in two parts, 202122101 and 120101, that added together give a palindrome (202242202).

The spelling of 202122101120101 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred one".