2121102102101 has 2 divisors, whose sum is σ = 2121102102102. Its totient is φ = 2121102102100.

The previous prime is 2121102102089. The next prime is 2121102102151. The reversal of 2121102102101 is 1012012011212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2071037592100 + 50064510001 = 1439110^2 + 223751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121102102101 is a prime.

It is a super-2 number, since 2×2121102102101² (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 (2121102102151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551051050 + 1060551051051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551051051).

Almost surely, 2^{2121102102101} is an apocalyptic number.

It is an amenable number.

2121102102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102102101 is an equidigital number, since it uses as much as digits as its factorization.

2121102102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121102102101 its reverse (1012012011212), we get a palindrome (3133114113313).

The spelling of 2121102102101 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred two thousand, one hundred one".