2101003210001 has 2 divisors, whose sum is σ = 2101003210002. Its totient is φ = 2101003210000.

The previous prime is 2101003209959. The next prime is 2101003210003. The reversal of 2101003210001 is 1000123001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1115051521600 + 985951688401 = 1055960^2 + 992951^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101003210001 - 2¹⁴ = 2101003193617 is a prime.

It is a super-2 number, since 2×2101003210001² (a number of 25 digits) contains 22 as substring.

Together with 2101003210003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2101003210003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050501605000 + 1050501605001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050501605001).

Almost surely, 2^{2101003210001} is an apocalyptic number.

It is an amenable number.

2101003210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101003210001 is an equidigital number, since it uses as much as digits as its factorization.

2101003210001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2101003210001 its reverse (1000123001012), we get a palindrome (3101126211013).

The spelling of 2101003210001 in words is "two trillion, one hundred one billion, three million, two hundred ten thousand, one".