10121012122011 has 16 divisors (see below), whose sum is σ = 15533447865600. Its totient is φ = 5741828047008.

The previous prime is 10121012122007. The next prime is 10121012122037. The reversal of 10121012122011 is 11022121012101.

It is a happy number.

10121012122011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121012122011 - 2² = 10121012122007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121012126011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1733640816 + ... + 1733646653.

It is an arithmetic number, because the mean of its divisors is an integer number (970840491600).

Almost surely, 2^{10121012122011} is an apocalyptic number.

10121012122011 is a deficient number, since it is larger than the sum of its proper divisors (5412435743589).

10121012122011 is a wasteful number, since it uses less digits than its factorization.

10121012122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467287618.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10121012122011 its reverse (11022121012101), we get a palindrome (21143133134112).

The spelling of 10121012122011 in words is "ten trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, eleven".