2101120002001 has 2 divisors, whose sum is σ = 2101120002002. Its totient is φ = 2101120002000.

The previous prime is 2101120001989. The next prime is 2101120002101. The reversal of 2101120002001 is 1002000211012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1128576899025 + 972543102976 = 1062345^2 + 986176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101120002001 - 2³⁹ = 1551364188113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101120002101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560001000 + 1050560001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560001001).

Almost surely, 2^{2101120002001} is an apocalyptic number.

It is an amenable number.

2101120002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101120002001 is an equidigital number, since it uses as much as digits as its factorization.

2101120002001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2101120002001 its reverse (1002000211012), we get a palindrome (3103120213013).

The spelling of 2101120002001 in words is "two trillion, one hundred one billion, one hundred twenty million, two thousand, one".