2112101120101 has 8 divisors (see below), whose sum is σ = 2442912139584. Its totient is φ = 1788560672640.

The previous prime is 2112101120083. The next prime is 2112101120113. The reversal of 2112101120101 is 1010211012112.

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 2112101120101 - 2⁹ = 2112101119589 is a prime.

It is a super-3 number, since 3×2112101120101³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112101121101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1817642380 + ... + 1817643541.

It is an arithmetic number, because the mean of its divisors is an integer number (305364017448).

Almost surely, 2^{2112101120101} is an apocalyptic number.

It is an amenable number.

2112101120101 is a deficient number, since it is larger than the sum of its proper divisors (330811019483).

2112101120101 is an equidigital number, since it uses as much as digits as its factorization.

2112101120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635286011.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112101120101 its reverse (1010211012112), we get a palindrome (3122312132213).

The spelling of 2112101120101 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand, one hundred one".