2121100010101 has 4 divisors (see below), whose sum is σ = 2189522591104. Its totient is φ = 2052677429100.

The previous prime is 2121100010083. The next prime is 2121100010119. The reversal of 2121100010101 is 1010100011212.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (2121100010083) and next prime (2121100010119).

It is a cyclic number.

It is not a de Polignac number, because 2121100010101 - 2¹⁵ = 2121099977333 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 (2121100010131) 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, 34211290455 + ... + 34211290516.

It is an arithmetic number, because the mean of its divisors is an integer number (547380647776).

Almost surely, 2^{2121100010101} is an apocalyptic number.

It is an amenable number.

2121100010101 is a deficient number, since it is larger than the sum of its proper divisors (68422581003).

2121100010101 is an equidigital number, since it uses as much as digits as its factorization.

2121100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68422581002.

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

Adding to 2121100010101 its reverse (1010100011212), we get a palindrome (3131200021313).

The spelling of 2121100010101 in words is "two trillion, one hundred twenty-one billion, one hundred million, ten thousand, one hundred one".