2121001101101 has 16 divisors (see below), whose sum is σ = 2270995889904. Its totient is φ = 1973847343104.

The previous prime is 2121001101097. The next prime is 2121001101103. The reversal of 2121001101101 is 1011011001212.

It can be written as a sum of positive squares in 8 ways, for example, as 85599545476 + 2035401555625 = 292574^2 + 1426675^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121001101101 - 2² = 2121001101097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121001101103) 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 15 ways as a sum of consecutive naturals, for example, 1213961 + ... + 2390753.

It is an arithmetic number, because the mean of its divisors is an integer number (141937243119).

Almost surely, 2^{2121001101101} is an apocalyptic number.

It is an amenable number.

2121001101101 is a deficient number, since it is larger than the sum of its proper divisors (149994788803).

2121001101101 is a wasteful number, since it uses less digits than its factorization.

2121001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178000.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2121001101101 its reverse (1011011001212), we get a palindrome (3132012102313).

The spelling of 2121001101101 in words is "two trillion, one hundred twenty-one billion, one million, one hundred one thousand, one hundred one".