2011020011001 has 24 divisors (see below), whose sum is σ = 2976276508296. Its totient is φ = 1307707580160.

The previous prime is 2011020010991. The next prime is 2011020011057. The reversal of 2011020011001 is 1001100201102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 586694721600 + 1424325289401 = 765960^2 + 1193451^2 .

It is not a de Polignac number, because 2011020011001 - 2⁵ = 2011020010969 is a prime.

It is a super-2 number, since 2×2011020011001² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2011020015001) 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, 1209831 + ... + 2342163.

It is an arithmetic number, because the mean of its divisors is an integer number (124011521179).

Almost surely, 2^{2011020011001} is an apocalyptic number.

It is an amenable number.

2011020011001 is a deficient number, since it is larger than the sum of its proper divisors (965256497295).

2011020011001 is a wasteful number, since it uses less digits than its factorization.

2011020011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137193 (or 1137190 counting only the distinct ones).

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

Adding to 2011020011001 its reverse (1001100201102), we get a palindrome (3012120212103).

The spelling of 2011020011001 in words is "two trillion, eleven billion, twenty million, eleven thousand, one".