10121101012011 has 16 divisors (see below), whose sum is σ = 14867359907328. Its totient is φ = 6073267932000.

The previous prime is 10121101011979. The next prime is 10121101012013. The reversal of 10121101012011 is 11021010112101.

It is not a de Polignac number, because 10121101012011 - 2⁵ = 10121101011979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121101012013) 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 in 15 ways as a sum of consecutive naturals, for example, 1518313651 + ... + 1518320316.

It is an arithmetic number, because the mean of its divisors is an integer number (929209994208).

Almost surely, 2^{10121101012011} is an apocalyptic number.

10121101012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121101012011 is a deficient number, since it is larger than the sum of its proper divisors (4746258895317).

10121101012011 is a wasteful number, since it uses less digits than its factorization.

10121101012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036634082.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121101012011 its reverse (11021010112101), we get a palindrome (21142111124112).

The spelling of 10121101012011 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, eleven".