10121002011011 has 12 divisors (see below), whose sum is σ = 10726415834400. Its totient is φ = 9548199129168.

The previous prime is 10121002010989. The next prime is 10121002011023. The reversal of 10121002011011 is 11011020012101.

10121002011011 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 10121002011011 - 2¹⁴ = 10121001994627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121002010983 and 10121002011001.

It is not an unprimeable number, because it can be changed into a prime (10121002011091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58566476 + ... + 58739033.

It is an arithmetic number, because the mean of its divisors is an integer number (893867986200).

Almost surely, 2^{10121002011011} is an apocalyptic number.

10121002011011 is a deficient number, since it is larger than the sum of its proper divisors (605413823389).

10121002011011 is a wasteful number, since it uses less digits than its factorization.

10121002011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117305786 (or 117305767 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121002011011 its reverse (11011020012101), we get a palindrome (21132022023112).

The spelling of 10121002011011 in words is "ten trillion, one hundred twenty-one billion, two million, eleven thousand, eleven".