10100000022121 has 2 divisors, whose sum is σ = 10100000022122. Its totient is φ = 10100000022120.

The previous prime is 10100000022107. The next prime is 10100000022131. The reversal of 10100000022121 is 12122000000101.

It is an a-pointer prime, because the next prime (10100000022131) can be obtained adding 10100000022121 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8254847265625 + 1845152756496 = 2873125^2 + 1358364^2 .

It is an emirp because it is prime and its reverse (12122000000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000022121 - 2²¹ = 10099997924969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000022098 and 10100000022107.

It is not a weakly prime, because it can be changed into another prime (10100000022131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000011060 + 5050000011061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000011061).

Almost surely, 2^{10100000022121} is an apocalyptic number.

It is an amenable number.

10100000022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000022121 is an equidigital number, since it uses as much as digits as its factorization.

10100000022121 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 10.

Adding to 10100000022121 its reverse (12122000000101), we get a palindrome (22222000022222).

The spelling of 10100000022121 in words is "ten trillion, one hundred billion, twenty-two thousand, one hundred twenty-one".