2112010101101 has 4 divisors (see below), whose sum is σ = 2130700456092. Its totient is φ = 2093319746112.

The previous prime is 2112010101073. The next prime is 2112010101107. The reversal of 2112010101101 is 1011010102112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 61529298601 + 2050480802500 = 248051^2 + 1431950^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112010101101 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 (2112010101107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9345177326 + ... + 9345177551.

It is an arithmetic number, because the mean of its divisors is an integer number (532675114023).

Almost surely, 2^{2112010101101} is an apocalyptic number.

It is an amenable number.

2112010101101 is a deficient number, since it is larger than the sum of its proper divisors (18690354991).

2112010101101 is a wasteful number, since it uses less digits than its factorization.

2112010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18690354990.

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

Adding to 2112010101101 its reverse (1011010102112), we get a palindrome (3123020203213).

The spelling of 2112010101101 in words is "two trillion, one hundred twelve billion, ten million, one hundred one thousand, one hundred one".