2102022112001 has 6 divisors (see below), whose sum is σ = 2445209395650. Its totient is φ = 1801733238816.

The previous prime is 2102022111991. The next prime is 2102022112013. The reversal of 2102022112001 is 1002112202012.

It can be written as a sum of positive squares in only one way, i.e., 2099743004401 + 2279107600 = 1449049^2 + 47740^2 .

It is not a de Polignac number, because 2102022112001 - 2³⁴ = 2084842242817 is a prime.

It is a super-3 number, since 3×2102022112001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2102022112031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21449205176 + ... + 21449205273.

It is an arithmetic number, because the mean of its divisors is an integer number (407534899275).

Almost surely, 2^{2102022112001} is an apocalyptic number.

It is an amenable number.

2102022112001 is a deficient number, since it is larger than the sum of its proper divisors (343187283649).

2102022112001 is an equidigital number, since it uses as much as digits as its factorization.

2102022112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42898410463 (or 42898410456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102022112001 its reverse (1002112202012), we get a palindrome (3104134314013).

The spelling of 2102022112001 in words is "two trillion, one hundred two billion, twenty-two million, one hundred twelve thousand, one".