2012211100101 has 16 divisors (see below), whose sum is σ = 2708434624896. Its totient is φ = 1328746116096.

The previous prime is 2012211100099. The next prime is 2012211100117. The reversal of 2012211100101 is 1010011122102.

It is not a de Polignac number, because 2012211100101 - 2¹ = 2012211100099 is a prime.

It is a super-2 number, since 2×2012211100101² (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 (2012210100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384585 + ... + 2437518.

It is an arithmetic number, because the mean of its divisors is an integer number (169277164056).

Almost surely, 2^{2012211100101} is an apocalyptic number.

It is an amenable number.

2012211100101 is a deficient number, since it is larger than the sum of its proper divisors (696223524795).

2012211100101 is a wasteful number, since it uses less digits than its factorization.

2012211100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823772.

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

Adding to 2012211100101 its reverse (1010011122102), we get a palindrome (3022222222203).

The spelling of 2012211100101 in words is "two trillion, twelve billion, two hundred eleven million, one hundred thousand, one hundred one".