2111012212101 has 16 divisors (see below), whose sum is σ = 3031234175424. Its totient is φ = 1299068515584.

The previous prime is 2111012212091. The next prime is 2111012212129. The reversal of 2111012212101 is 1012122101112.

It is a happy number.

It is not a de Polignac number, because 2111012212101 - 2²³ = 2111003823493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111012212901) 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, 3431325 + ... + 3999501.

It is an arithmetic number, because the mean of its divisors is an integer number (189452135964).

Almost surely, 2^{2111012212101} is an apocalyptic number.

It is an amenable number.

2111012212101 is a deficient number, since it is larger than the sum of its proper divisors (920221963323).

2111012212101 is a wasteful number, since it uses less digits than its factorization.

2111012212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663460.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111012212101 its reverse (1012122101112), we get a palindrome (3123134313213).

The spelling of 2111012212101 in words is "two trillion, one hundred eleven billion, twelve million, two hundred twelve thousand, one hundred one".