2122102011001 has 16 divisors (see below), whose sum is σ = 2447973158400. Its totient is φ = 1801915616448.

The previous prime is 2122102010993. The next prime is 2122102011019. The reversal of 2122102011001 is 1001102012212.

It is a cyclic number.

It is not a de Polignac number, because 2122102011001 - 2³ = 2122102010993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122102011031) 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 15 ways as a sum of consecutive naturals, for example, 3808320 + ... + 4329838.

It is an arithmetic number, because the mean of its divisors is an integer number (152998322400).

Almost surely, 2^{2122102011001} is an apocalyptic number.

It is an amenable number.

2122102011001 is a deficient number, since it is larger than the sum of its proper divisors (325871147399).

2122102011001 is a wasteful number, since it uses less digits than its factorization.

2122102011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526968.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122102011001 its reverse (1001102012212), we get a palindrome (3123204023213).

The spelling of 2122102011001 in words is "two trillion, one hundred twenty-two billion, one hundred two million, eleven thousand, one".