10100121011 has 2 divisors, whose sum is σ = 10100121012. Its totient is φ = 10100121010.

The previous prime is 10100120923. The next prime is 10100121121. The reversal of 10100121011 is 11012100101.

It is a happy number.

10100121011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100121011 - 2¹⁰ = 10100119987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100121011.

It is not a weakly prime, because it can be changed into another prime (10100121611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060505 + 5050060506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060506).

Almost surely, 2^10100121011 is an apocalyptic number.

10100121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121011 is an equidigital number, since it uses as much as digits as its factorization.

10100121011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10100121011 its reverse (11012100101), we get a palindrome (21112221112).

The spelling of 10100121011 in words is "ten billion, one hundred million, one hundred twenty-one thousand, eleven".