2121010102001 has 6 divisors (see below), whose sum is σ = 2467297465650. Its totient is φ = 1818008658816.

The previous prime is 2121010101997. The next prime is 2121010102007. The reversal of 2121010102001 is 1002010101212.

It can be written as a sum of positive squares in only one way, i.e., 1254509762401 + 866500339600 = 1120049^2 + 930860^2 .

It is not a de Polignac number, because 2121010102001 - 2² = 2121010101997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2121010102007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21642960176 + ... + 21642960273.

It is an arithmetic number, because the mean of its divisors is an integer number (411216244275).

Almost surely, 2^{2121010102001} is an apocalyptic number.

It is an amenable number.

2121010102001 is a deficient number, since it is larger than the sum of its proper divisors (346287363649).

2121010102001 is an equidigital number, since it uses as much as digits as its factorization.

2121010102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43285920463 (or 43285920456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2121010102001 its reverse (1002010101212), we get a palindrome (3123020203213).

The spelling of 2121010102001 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred two thousand, one".