2011021011101 has 8 divisors (see below), whose sum is σ = 2022174545664. Its totient is φ = 1999867948560.

The previous prime is 2011021011079. The next prime is 2011021011133. The reversal of 2011021011101 is 1011101201102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011021011101 - 2⁶ = 2011021011037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011021011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11691020 + ... + 11861786.

It is an arithmetic number, because the mean of its divisors is an integer number (252771818208).

Almost surely, 2^{2011021011101} is an apocalyptic number.

It is an amenable number.

2011021011101 is a deficient number, since it is larger than the sum of its proper divisors (11153534563).

2011021011101 is a wasteful number, since it uses less digits than its factorization.

2011021011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236011.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011021011101 its reverse (1011101201102), we get a palindrome (3022122212203).

It can be divided in two parts, 201102 and 1011101, that multiplied together give a palindrome (203334433302).

The spelling of 2011021011101 in words is "two trillion, eleven billion, twenty-one million, eleven thousand, one hundred one".