2121012002101 has 2 divisors, whose sum is σ = 2121012002102. Its totient is φ = 2121012002100.

The previous prime is 2121012002041. The next prime is 2121012002119. The reversal of 2121012002101 is 1012002101212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2086872049201 + 34139952900 = 1444601^2 + 184770^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121012002101 - 2¹⁹ = 2121011477813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121012002701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060506001050 + 1060506001051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060506001051).

Almost surely, 2^{2121012002101} is an apocalyptic number.

It is an amenable number.

2121012002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121012002101 is an equidigital number, since it uses as much as digits as its factorization.

2121012002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121012002101 its reverse (1012002101212), we get a palindrome (3133014103313).

It can be divided in two parts, 212 and 1012002101, that multiplied together give a palindrome (214544445412).

The spelling of 2121012002101 in words is "two trillion, one hundred twenty-one billion, twelve million, two thousand, one hundred one".