2112110200101 has 16 divisors (see below), whose sum is σ = 3072310824960. Its totient is φ = 1280004065520.

The previous prime is 2112110200097. The next prime is 2112110200201. The reversal of 2112110200101 is 1010020112112.

It is not a de Polignac number, because 2112110200101 - 2² = 2112110200097 is a prime.

It is a super-2 number, since 2×2112110200101² (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 (2112110200201) 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 15 ways as a sum of consecutive naturals, for example, 879871 + ... + 2235708.

It is an arithmetic number, because the mean of its divisors is an integer number (192019426560).

Almost surely, 2^{2112110200101} is an apocalyptic number.

It is an amenable number.

2112110200101 is a deficient number, since it is larger than the sum of its proper divisors (960200624859).

2112110200101 is a wasteful number, since it uses less digits than its factorization.

2112110200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136136.

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

Adding to 2112110200101 its reverse (1010020112112), we get a palindrome (3122130312213).

The spelling of 2112110200101 in words is "two trillion, one hundred twelve billion, one hundred ten million, two hundred thousand, one hundred one".