20101102121 has 2 divisors, whose sum is σ = 20101102122. Its totient is φ = 20101102120.

The previous prime is 20101102111. The next prime is 20101102163. The reversal of 20101102121 is 12120110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17732917225 + 2368184896 = 133165^2 + 48664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101102121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20101102111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050551060 + 10050551061.

It is an arithmetic number, because the mean of its divisors is an integer number (10050551061).

Almost surely, 2^20101102121 is an apocalyptic number.

It is an amenable number.

20101102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101102121 is an equidigital number, since it uses as much as digits as its factorization.

20101102121 is an evil number, because the sum of its binary digits is even.

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

Adding to 20101102121 its reverse (12120110102), we get a palindrome (32221212223).

The spelling of 20101102121 in words is "twenty billion, one hundred one million, one hundred two thousand, one hundred twenty-one".