101121212012021 has 2 divisors, whose sum is σ = 101121212012022. Its totient is φ = 101121212012020.

The previous prime is 101121212011979. The next prime is 101121212012027. The reversal of 101121212012021 is 120210212121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99604092634225 + 1517119377796 = 9980185^2 + 1231714^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121212012021 - 2¹⁴ = 101121211995637 is a prime.

It is a super-5 number, since 5×101121212012021⁵ (a number of 71 digits) contains 55555 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121212012027) 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, 50560606006010 + 50560606006011.

It is an arithmetic number, because the mean of its divisors is an integer number (50560606006011).

Almost surely, 2^{101121212012021} is an apocalyptic number.

It is an amenable number.

101121212012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121212012021 is an equidigital number, since it uses as much as digits as its factorization.

101121212012021 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 17.

Adding to 101121212012021 its reverse (120210212121101), we get a palindrome (221331424133122).

The spelling of 101121212012021 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, twelve thousand, twenty-one".