2121636264101 has 8 divisors (see below), whose sum is σ = 2145502935360. Its totient is φ = 2097770216608.

The previous prime is 2121636264067. The next prime is 2121636264119. The reversal of 2121636264101 is 1014626361212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-2121636264101 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 (2121636264301) 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 7 ways as a sum of consecutive naturals, for example, 11866370 + ... + 12043836.

It is an arithmetic number, because the mean of its divisors is an integer number (268187866920).

Almost surely, 2^{2121636264101} is an apocalyptic number.

It is an amenable number.

2121636264101 is a deficient number, since it is larger than the sum of its proper divisors (23866671259).

2121636264101 is a wasteful number, since it uses less digits than its factorization.

2121636264101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311883.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 2121636264101 in words is "two trillion, one hundred twenty-one billion, six hundred thirty-six million, two hundred sixty-four thousand, one hundred one".