2120210000101 has 8 divisors (see below), whose sum is σ = 2188785538304. Its totient is φ = 2051645816160.

The previous prime is 2120210000071. The next prime is 2120210000159. The reversal of 2120210000101 is 1010000120212.

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

It is a cyclic number.

It is not a de Polignac number, because 2120210000101 - 2¹⁵ = 2120209967333 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 (2120210001101) 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, 2458251 + ... + 3206776.

It is an arithmetic number, because the mean of its divisors is an integer number (273598192288).

Almost surely, 2^{2120210000101} is an apocalyptic number.

It is an amenable number.

2120210000101 is a deficient number, since it is larger than the sum of its proper divisors (68575538203).

2120210000101 is a wasteful number, since it uses less digits than its factorization.

2120210000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677131.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2120210000101 its reverse (1010000120212), we get a palindrome (3130210120313).

The spelling of 2120210000101 in words is "two trillion, one hundred twenty billion, two hundred ten million, one hundred one", and thus it is an aban number.