2011011102101 has 8 divisors (see below), whose sum is σ = 2012697387840. Its totient is φ = 2009325269952.

The previous prime is 2011011102091. The next prime is 2011011102103. The reversal of 2011011102101 is 1012011101102.

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 2011011102101 - 2²⁶ = 2010943993237 is a prime.

It is a super-2 number, since 2×2011011102101² (a number of 25 digits) contains 22 as substring.

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 (2011011102103) 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, 9067136 + ... + 9286278.

It is an arithmetic number, because the mean of its divisors is an integer number (251587173480).

Almost surely, 2^{2011011102101} is an apocalyptic number.

It is an amenable number.

2011011102101 is a deficient number, since it is larger than the sum of its proper divisors (1686285739).

2011011102101 is a wasteful number, since it uses less digits than its factorization.

2011011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226795.

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

Adding to 2011011102101 its reverse (1012011101102), we get a palindrome (3023022203203).

Subtracting from 2011011102101 its reverse (1012011101102), we obtain a palindrome (999000000999).

It can be divided in two parts, 2011011 and 102101, that added together give a palindrome (2113112).

The spelling of 2011011102101 in words is "two trillion, eleven billion, eleven million, one hundred two thousand, one hundred one".