2011020001011 has 24 divisors (see below), whose sum is σ = 3338325319680. Its totient is φ = 1142734423536.

The previous prime is 2011020000989. The next prime is 2011020001027. The reversal of 2011020001011 is 1101000201102.

It is a happy number.

It is not a de Polignac number, because 2011020001011 - 2¹⁰ = 2011019999987 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 = 2011020000984 and 2011020001002.

It is not an unprimeable number, because it can be changed into a prime (2011020002011) 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, 89153395 + ... + 89175948.

It is an arithmetic number, because the mean of its divisors is an integer number (139096888320).

Almost surely, 2^{2011020001011} is an apocalyptic number.

2011020001011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011020001011 is a deficient number, since it is larger than the sum of its proper divisors (1327305318669).

2011020001011 is a wasteful number, since it uses less digits than its factorization.

2011020001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178329535 (or 178329532 counting only the distinct ones).

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

Adding to 2011020001011 its reverse (1101000201102), we get a palindrome (3112020202113).

The spelling of 2011020001011 in words is "two trillion, eleven billion, twenty million, one thousand, eleven".