10102010011011 has 24 divisors (see below), whose sum is σ = 15112146875904. Its totient is φ = 6498546027120.

The previous prime is 10102010011001. The next prime is 10102010011019. The reversal of 10102010011011 is 11011001020101.

10102010011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10102010011011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102010010984 and 10102010011002.

It is not an unprimeable number, because it can be changed into a prime (10102010011019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168151801 + ... + 168211866.

It is an arithmetic number, because the mean of its divisors is an integer number (629672786496).

Almost surely, 2^{10102010011011} is an apocalyptic number.

10102010011011 is a deficient number, since it is larger than the sum of its proper divisors (5010136864893).

10102010011011 is a wasteful number, since it uses less digits than its factorization.

10102010011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336363791 (or 336363788 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10102010011011 its reverse (11011001020101), we get a palindrome (21113011031112).

The spelling of 10102010011011 in words is "ten trillion, one hundred two billion, ten million, eleven thousand, eleven".