2101120020001 has 2 divisors, whose sum is σ = 2101120020002. Its totient is φ = 2101120020000.

The previous prime is 2101120019993. The next prime is 2101120020023. The reversal of 2101120020001 is 1000200211012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1437792846400 + 663327173601 = 1199080^2 + 814449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101120020001 - 2³ = 2101120019993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101120020001.

It is not a weakly prime, because it can be changed into another prime (2101120020401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560010000 + 1050560010001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560010001).

Almost surely, 2^{2101120020001} is an apocalyptic number.

It is an amenable number.

2101120020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101120020001 is an equidigital number, since it uses as much as digits as its factorization.

2101120020001 is an evil number, because the sum of its binary digits is even.

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

Adding to 2101120020001 its reverse (1000200211012), we get a palindrome (3101320231013).

The spelling of 2101120020001 in words is "two trillion, one hundred one billion, one hundred twenty million, twenty thousand, one".