2122010000001 has 40 divisors (see below), whose sum is σ = 3219657293160. Its totient is φ = 1392551025408.

The previous prime is 2122009999997. The next prime is 2122010000081. The reversal of 2122010000001 is 1000000102212.

It can be written as a sum of positive squares in 4 ways, for example, as 1354197690000 + 767812310001 = 1163700^2 + 876249^2 .

It is not a de Polignac number, because 2122010000001 - 2² = 2122009999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2122010000081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2657191 + ... + 3362243.

It is an arithmetic number, because the mean of its divisors is an integer number (80491432329).

Almost surely, 2^{2122010000001} is an apocalyptic number.

It is an amenable number.

2122010000001 is a deficient number, since it is larger than the sum of its proper divisors (1097647293159).

2122010000001 is an equidigital number, since it uses as much as digits as its factorization.

2122010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705647 (or 705638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2122010000001 its reverse (1000000102212), we get a palindrome (3122010102213).

The spelling of 2122010000001 in words is "two trillion, one hundred twenty-two billion, ten million, one", and thus it is an aban number.