2011102100101 has 16 divisors (see below), whose sum is σ = 2054351144448. Its totient is φ = 1968288940800.

The previous prime is 2011102100093. The next prime is 2011102100123. The reversal of 2011102100101 is 1010012011102.

It is a cyclic number.

It is not a de Polignac number, because 2011102100101 - 2³ = 2011102100093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102100191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25873786 + ... + 25951396.

It is an arithmetic number, because the mean of its divisors is an integer number (128396946528).

Almost surely, 2^{2011102100101} is an apocalyptic number.

It is an amenable number.

2011102100101 is a deficient number, since it is larger than the sum of its proper divisors (43249044347).

2011102100101 is a wasteful number, since it uses less digits than its factorization.

2011102100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80412.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011102100101 its reverse (1010012011102), we get a palindrome (3021114111203).

The spelling of 2011102100101 in words is "two trillion, eleven billion, one hundred two million, one hundred thousand, one hundred one".