2122101001 has 32 divisors (see below), whose sum is σ = 2311852032. Its totient is φ = 1944000000.

The previous prime is 2122100993. The next prime is 2122101017. The reversal of 2122101001 is 1001012212.

It is a 3-Lehmer number, since φ(2122101001) divides (2122101001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 2122101001 - 2³ = 2122100993 is a prime.

It is a deceptive number, since it divides R_2122101000.

It is not an unprimeable number, because it can be changed into a prime (2122101701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7830496 + ... + 7830766.

It is an arithmetic number, because the mean of its divisors is an integer number (72245376).

Almost surely, 2^2122101001 is an apocalyptic number.

It is an amenable number.

2122101001 is a deficient number, since it is larger than the sum of its proper divisors (189751031).

2122101001 is a wasteful number, since it uses less digits than its factorization.

2122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2122101001 is about 46066.2674958586. The cubic root of 2122101001 is about 1285.0558906181.

Adding to 2122101001 its reverse (1001012212), we get a palindrome (3123113213).

The spelling of 2122101001 in words is "two billion, one hundred twenty-two million, one hundred one thousand, one".