10121100001021 has 2 divisors, whose sum is σ = 10121100001022. Its totient is φ = 10121100001020.

The previous prime is 10121100001007. The next prime is 10121100001057. The reversal of 10121100001021 is 12010000112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9474545705625 + 646554295396 = 3078075^2 + 804086^2 .

It is an emirp because it is prime and its reverse (12010000112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121100001021 - 2¹⁵ = 10121099968253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121100000989 and 10121100001007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121100001921) 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, 5060550000510 + 5060550000511.

It is an arithmetic number, because the mean of its divisors is an integer number (5060550000511).

Almost surely, 2^{10121100001021} is an apocalyptic number.

It is an amenable number.

10121100001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121100001021 is an equidigital number, since it uses as much as digits as its factorization.

10121100001021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121100001021 its reverse (12010000112101), we get a palindrome (22131100113122).

The spelling of 10121100001021 in words is "ten trillion, one hundred twenty-one billion, one hundred million, one thousand, twenty-one".