2122111011001 has 8 divisors (see below), whose sum is σ = 2122716406664. Its totient is φ = 2121505706880.

The previous prime is 2122111010963. The next prime is 2122111011019. The reversal of 2122111011001 is 1001101112212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11050214400 + 2111060796601 = 105120^2 + 1452949^2 .

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 2122111011001 - 2²⁷ = 2121976793273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120111011001) 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, 85415341 + ... + 85440181.

It is an arithmetic number, because the mean of its divisors is an integer number (265339550833).

Almost surely, 2^{2122111011001} is an apocalyptic number.

It is an amenable number.

2122111011001 is a deficient number, since it is larger than the sum of its proper divisors (605395663).

2122111011001 is a wasteful number, since it uses less digits than its factorization.

2122111011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45771.

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

Adding to 2122111011001 its reverse (1001101112212), we get a palindrome (3123212123213).

The spelling of 2122111011001 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, eleven thousand, one".