202121120012101 has 2 divisors, whose sum is σ = 202121120012102. Its totient is φ = 202121120012100.

The previous prime is 202121120012083. The next prime is 202121120012117. The reversal of 202121120012101 is 101210021121202.

It is an a-pointer prime, because the next prime (202121120012117) can be obtained adding 202121120012101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155790363523201 + 46330756488900 = 12481601^2 + 6806670^2 .

It is a cyclic number.

It is not a de Polignac number, because 202121120012101 - 2⁵ = 202121120012069 is a prime.

It is a super-2 number, since 2×202121120012101² (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 (202121120012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101060560006050 + 101060560006051.

It is an arithmetic number, because the mean of its divisors is an integer number (101060560006051).

Almost surely, 2^{202121120012101} is an apocalyptic number.

It is an amenable number.

202121120012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202121120012101 is an equidigital number, since it uses as much as digits as its factorization.

202121120012101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 202121120012101 its reverse (101210021121202), we get a palindrome (303331141133303).

The spelling of 202121120012101 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred one".