2121010101001 has 12 divisors (see below), whose sum is σ = 2442019189104. Its totient is φ = 1826707260600.

The previous prime is 2121010100981. The next prime is 2121010101019. The reversal of 2121010101001 is 1001010101212.

It is not a de Polignac number, because 2121010101001 - 2⁷ = 2121010100873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121010101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267058495 + ... + 267066436.

It is an arithmetic number, because the mean of its divisors is an integer number (203501599092).

Almost surely, 2^{2121010101001} is an apocalyptic number.

It is an amenable number.

2121010101001 is a deficient number, since it is larger than the sum of its proper divisors (321009088103).

2121010101001 is a wasteful number, since it uses less digits than its factorization.

2121010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534124980 (or 534124961 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2121010101001 its reverse (1001010101212), we get a palindrome (3122020202213).

The spelling of 2121010101001 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred one thousand, one".