20121010102121 has 2 divisors, whose sum is σ = 20121010102122. Its totient is φ = 20121010102120.

The previous prime is 20121010102087. The next prime is 20121010102133. The reversal of 20121010102121 is 12120101012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20040260923225 + 80749178896 = 4476635^2 + 284164^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121010102121 - 2²² = 20121005907817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121010102096 and 20121010102105.

It is not a weakly prime, because it can be changed into another prime (20121010102321) 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, 10060505051060 + 10060505051061.

It is an arithmetic number, because the mean of its divisors is an integer number (10060505051061).

Almost surely, 2^{20121010102121} is an apocalyptic number.

It is an amenable number.

20121010102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121010102121 is an equidigital number, since it uses as much as digits as its factorization.

20121010102121 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 14.

Adding to 20121010102121 its reverse (12120101012102), we get a palindrome (32241111114223).

The spelling of 20121010102121 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred two thousand, one hundred twenty-one".