2121100100101 has 4 divisors (see below), whose sum is σ = 2125741457452. Its totient is φ = 2116458742752.

The previous prime is 2121100100071. The next prime is 2121100100113. The reversal of 2121100100101 is 1010010011212.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1231711530625 + 889388569476 = 1109825^2 + 943074^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121100100101 - 2⁹ = 2121100099589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121100100131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2320677990 + ... + 2320678903.

It is an arithmetic number, because the mean of its divisors is an integer number (531435364363).

Almost surely, 2^{2121100100101} is an apocalyptic number.

It is an amenable number.

2121100100101 is a deficient number, since it is larger than the sum of its proper divisors (4641357351).

2121100100101 is an equidigital number, since it uses as much as digits as its factorization.

2121100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641357350.

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

Adding to 2121100100101 its reverse (1010010011212), we get a palindrome (3131110111313).

The spelling of 2121100100101 in words is "two trillion, one hundred twenty-one billion, one hundred million, one hundred thousand, one hundred one".