2112101112001 has 8 divisors (see below), whose sum is σ = 2112734078208. Its totient is φ = 2111468250000.

The previous prime is 2112101111971. The next prime is 2112101112007. The reversal of 2112101112001 is 1002111012112.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 2112101112001 - 2⁷ = 2112101111873 is a prime.

It is a super-2 number, since 2×2112101112001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112101112007) 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, 58245126 + ... + 58281376.

It is an arithmetic number, because the mean of its divisors is an integer number (264091759776).

Almost surely, 2^{2112101112001} is an apocalyptic number.

It is an amenable number.

2112101112001 is a deficient number, since it is larger than the sum of its proper divisors (632966207).

2112101112001 is a wasteful number, since it uses less digits than its factorization.

2112101112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52103.

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

Adding to 2112101112001 its reverse (1002111012112), we get a palindrome (3114212124113).

It can be divided in two parts, 211210111 and 2001, that added together give a palindrome (211212112).

The spelling of 2112101112001 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twelve thousand, one".