2122112002101 has 16 divisors (see below), whose sum is σ = 3482440209024. Its totient is φ = 1119355781184.

The previous prime is 2122112002097. The next prime is 2122112002111. The reversal of 2122112002101 is 1012002112212.

It is not a de Polignac number, because 2122112002101 - 2² = 2122112002097 is a prime.

It is a super-2 number, since 2×2122112002101² (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 (2122112002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3886651746 + ... + 3886652291.

It is an arithmetic number, because the mean of its divisors is an integer number (217652513064).

Almost surely, 2^{2122112002101} is an apocalyptic number.

2122112002101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122112002101 is a deficient number, since it is larger than the sum of its proper divisors (1360328206923).

2122112002101 is a wasteful number, since it uses less digits than its factorization.

2122112002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773304060.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122112002101 its reverse (1012002112212), we get a palindrome (3134114114313).

The spelling of 2122112002101 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, one hundred one".