2111122112001 has 8 divisors (see below), whose sum is σ = 3216947980224. Its totient is φ = 1206355492560.

The previous prime is 2111122111909. The next prime is 2111122112081. The reversal of 2111122112001 is 1002112211112.

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 2111122112001 - 2¹¹ = 2111122109953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2111122112081) 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, 50264812170 + ... + 50264812211.

It is an arithmetic number, because the mean of its divisors is an integer number (402118497528).

Almost surely, 2^{2111122112001} is an apocalyptic number.

2111122112001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2111122112001 is a deficient number, since it is larger than the sum of its proper divisors (1105825868223).

2111122112001 is a wasteful number, since it uses less digits than its factorization.

2111122112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100529624391.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111122112001 its reverse (1002112211112), we get a palindrome (3113234323113).

The spelling of 2111122112001 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, one".