2101120001 has 2 divisors, whose sum is σ = 2101120002. Its totient is φ = 2101120000.

The previous prime is 2101119991. The next prime is 2101120003. The reversal of 2101120001 is 1000211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1239110401 + 862009600 = 35201^2 + 29360^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101120001 - 2¹⁴ = 2101103617 is a prime.

Together with 2101120003, 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 (2101120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560000 + 1050560001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560001).

Almost surely, 2^2101120001 is an apocalyptic number.

It is an amenable number.

2101120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101120001 is an equidigital number, since it uses as much as digits as its factorization.

2101120001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2101120001 is about 45837.9755333937. The cubic root of 2101120001 is about 1280.8067832483.

Adding to 2101120001 its reverse (1000211012), we get a palindrome (3101331013).

It can be divided in two parts, 210 and 1120001, that added together give a palindrome (1120211).

The spelling of 2101120001 in words is "two billion, one hundred one million, one hundred twenty thousand, one".