2114022834001 has 8 divisors (see below), whose sum is σ = 2410559973864. Its totient is φ = 1836617122560.

The previous prime is 2114022833983. The next prime is 2114022834019. The reversal of 2114022834001 is 1004382204112.

It is an interprime number because it is at equal distance from previous prime (2114022833983) and next prime (2114022834019).

It can be written as a sum of positive squares in 4 ways, for example, as 481247438400 + 1632775395601 = 693720^2 + 1277801^2 .

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 2114022834001 - 2²⁵ = 2113989279569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2114022834401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4782856870 + ... + 4782857311.

It is an arithmetic number, because the mean of its divisors is an integer number (301319996733).

Almost surely, 2^{2114022834001} is an apocalyptic number.

It is an amenable number.

2114022834001 is a deficient number, since it is larger than the sum of its proper divisors (296537139863).

2114022834001 is a wasteful number, since it uses less digits than its factorization.

2114022834001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565714211.

The product of its (nonzero) digits is 3072, while the sum is 28.

It can be divided in two parts, 211402 and 2834001, that added together give a palindrome (3045403).

The spelling of 2114022834001 in words is "two trillion, one hundred fourteen billion, twenty-two million, eight hundred thirty-four thousand, one".