2012110201101 has 64 divisors (see below), whose sum is σ = 3670063810560. Its totient is φ = 946643293440.

The previous prime is 2012110201093. The next prime is 2012110201109. The reversal of 2012110201101 is 1011020112102.

It is an interprime number because it is at equal distance from previous prime (2012110201093) and next prime (2012110201109).

It is not a de Polignac number, because 2012110201101 - 2³ = 2012110201093 is a prime.

It is a super-2 number, since 2×2012110201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012110201109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6161911 + ... + 6480228.

It is an arithmetic number, because the mean of its divisors is an integer number (57344747040).

Almost surely, 2^{2012110201101} is an apocalyptic number.

2012110201101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012110201101 is a deficient number, since it is larger than the sum of its proper divisors (1657953609459).

2012110201101 is a wasteful number, since it uses less digits than its factorization.

2012110201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642226.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2012110201101 its reverse (1011020112102), we get a palindrome (3023130313203).

It can be divided in two parts, 20 and 12110201101, that added together give a palindrome (12110201121).

The spelling of 2012110201101 in words is "two trillion, twelve billion, one hundred ten million, two hundred one thousand, one hundred one".