1021000212101 has 2 divisors, whose sum is σ = 1021000212102. Its totient is φ = 1021000212100.

The previous prime is 1021000212061. The next prime is 1021000212137. The reversal of 1021000212101 is 1012120001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 800579352001 + 220420860100 = 894751^2 + 469490^2 .

It is an emirp because it is prime and its reverse (1012120001201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1021000212101 is a prime.

It is a super-2 number, since 2×1021000212101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021000262101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500106050 + 510500106051.

It is an arithmetic number, because the mean of its divisors is an integer number (510500106051).

Almost surely, 2^{1021000212101} is an apocalyptic number.

It is an amenable number.

1021000212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000212101 is an equidigital number, since it uses as much as digits as its factorization.

1021000212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021000212101 its reverse (1012120001201), we get a palindrome (2033120213302).

The spelling of 1021000212101 in words is "one trillion, twenty-one billion, two hundred twelve thousand, one hundred one".