2112100201101 has 16 divisors (see below), whose sum is σ = 3233837629440. Its totient is φ = 1212689110320.

The previous prime is 2112100201067. The next prime is 2112100201109. The reversal of 2112100201101 is 1011020012112.

It is not a de Polignac number, because 2112100201101 - 2¹⁸ = 2112099938957 is a prime.

It is a super-2 number, since 2×2112100201101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100201109) 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, 1684289805 + ... + 1684291058.

It is an arithmetic number, because the mean of its divisors is an integer number (202114851840).

Almost surely, 2^{2112100201101} is an apocalyptic number.

It is an amenable number.

2112100201101 is a deficient number, since it is larger than the sum of its proper divisors (1121737428339).

2112100201101 is a wasteful number, since it uses less digits than its factorization.

2112100201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368580896.

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

Adding to 2112100201101 its reverse (1011020012112), we get a palindrome (3123120213213).

The spelling of 2112100201101 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred one thousand, one hundred one".