10100001100121 has 2 divisors, whose sum is σ = 10100001100122. Its totient is φ = 10100001100120.

The previous prime is 10100001100097. The next prime is 10100001100139. The reversal of 10100001100121 is 12100110000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10054701937225 + 45299162896 = 3170915^2 + 212836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001100121 - 2⁴² = 5701954589017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100001100099 and 10100001100108.

It is not a weakly prime, because it can be changed into another prime (10100001100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000550060 + 5050000550061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000550061).

Almost surely, 2^{10100001100121} is an apocalyptic number.

It is an amenable number.

10100001100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001100121 is an equidigital number, since it uses as much as digits as its factorization.

10100001100121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100001100121 its reverse (12100110000101), we get a palindrome (22200111100222).

The spelling of 10100001100121 in words is "ten trillion, one hundred billion, one million, one hundred thousand, one hundred twenty-one".