20100110002011 has 128 divisors (see below), whose sum is σ = 34401720729600. Its totient is φ = 11489471723520.

The previous prime is 20100110002003. The next prime is 20100110002031. The reversal of 20100110002011 is 11020001100102.

It is a happy number.

It is not a de Polignac number, because 20100110002011 - 2³ = 20100110002003 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 = 20100110001984 and 20100110002002.

It is not an unprimeable number, because it can be changed into a prime (20100110002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144672085 + ... + 144810953.

It is an arithmetic number, because the mean of its divisors is an integer number (268763443200).

Almost surely, 2^{20100110002011} is an apocalyptic number.

20100110002011 is a deficient number, since it is larger than the sum of its proper divisors (14301610727589).

20100110002011 is a wasteful number, since it uses less digits than its factorization.

20100110002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139226 (or 139220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20100110002011 its reverse (11020001100102), we get a palindrome (31120111102113).

The spelling of 20100110002011 in words is "twenty trillion, one hundred billion, one hundred ten million, two thousand, eleven".