2000001112011 has 48 divisors (see below), whose sum is σ = 3347202193920. Its totient is φ = 1127072257920.

The previous prime is 2000001112009. The next prime is 2000001112019. The reversal of 2000001112011 is 1102111000002.

It is a happy number.

It is not a de Polignac number, because 2000001112011 - 2¹ = 2000001112009 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 = 2000001111984 and 2000001112002.

It is not an unprimeable number, because it can be changed into a prime (2000001112019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51300756 + ... + 51339726.

It is an arithmetic number, because the mean of its divisors is an integer number (69733379040).

Almost surely, 2^{2000001112011} is an apocalyptic number.

2000001112011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2000001112011 is a deficient number, since it is larger than the sum of its proper divisors (1347201081909).

2000001112011 is a wasteful number, since it uses less digits than its factorization.

2000001112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50216 (or 50213 counting only the distinct ones).

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

Adding to 2000001112011 its reverse (1102111000002), we get a palindrome (3102112112013).

The spelling of 2000001112011 in words is "two trillion, one million, one hundred twelve thousand, eleven".