2010120072001 has 2 divisors, whose sum is σ = 2010120072002. Its totient is φ = 2010120072000.

The previous prime is 2010120071957. The next prime is 2010120072053. The reversal of 2010120072001 is 1002700210102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1886985752976 + 123134319025 = 1373676^2 + 350905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010120072001 is a prime.

It is a super-2 number, since 2×2010120072001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010120073001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005060036000 + 1005060036001.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060036001).

Almost surely, 2^{2010120072001} is an apocalyptic number.

It is an amenable number.

2010120072001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010120072001 is an equidigital number, since it uses as much as digits as its factorization.

2010120072001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 2010120072001 its reverse (1002700210102), we get a palindrome (3012820282103).

The spelling of 2010120072001 in words is "two trillion, ten billion, one hundred twenty million, seventy-two thousand, one".