20100020112121 has 2 divisors, whose sum is σ = 20100020112122. Its totient is φ = 20100020112120.

The previous prime is 20100020112119. The next prime is 20100020112167. The reversal of 20100020112121 is 12121102000102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15167130250000 + 4932889862121 = 3894500^2 + 2221011^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100020112121 - 2¹ = 20100020112119 is a prime.

It is a super-2 number, since 2×20100020112121² (a number of 27 digits) contains 22 as substring.

Together with 20100020112119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20100020112191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050010056060 + 10050010056061.

It is an arithmetic number, because the mean of its divisors is an integer number (10050010056061).

Almost surely, 2^{20100020112121} is an apocalyptic number.

It is an amenable number.

20100020112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100020112121 is an equidigital number, since it uses as much as digits as its factorization.

20100020112121 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 13.

Adding to 20100020112121 its reverse (12121102000102), we get a palindrome (32221122112223).

The spelling of 20100020112121 in words is "twenty trillion, one hundred billion, twenty million, one hundred twelve thousand, one hundred twenty-one".