2011212112101 has 8 divisors (see below), whose sum is σ = 2681622996864. Its totient is φ = 1340804651040.

The previous prime is 2011212112099. The next prime is 2011212112177. The reversal of 2011212112101 is 1012112121102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2011212112101 - 2¹ = 2011212112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011212113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266900 + ... + 2372226.

It is an arithmetic number, because the mean of its divisors is an integer number (335202874608).

Almost surely, 2^{2011212112101} is an apocalyptic number.

It is an amenable number.

2011212112101 is a deficient number, since it is larger than the sum of its proper divisors (670410884763).

2011212112101 is a wasteful number, since it uses less digits than its factorization.

2011212112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711851.

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

Adding to 2011212112101 its reverse (1012112121102), we get a palindrome (3023324233203).

Subtracting from 2011212112101 its reverse (1012112121102), we obtain a palindrome (999099990999).

The spelling of 2011212112101 in words is "two trillion, eleven billion, two hundred twelve million, one hundred twelve thousand, one hundred one".