2101120000211 has 4 divisors (see below), whose sum is σ = 2211705263400. Its totient is φ = 1990534737024.

The previous prime is 2101120000141. The next prime is 2101120000271. The reversal of 2101120000211 is 1120000211012.

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

It is a cyclic number.

It is not a de Polignac number, because 2101120000211 - 2³⁸ = 1826242093267 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101120000192 and 2101120000201.

It is not an unprimeable number, because it can be changed into a prime (2101120000271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55292631566 + ... + 55292631603.

It is an arithmetic number, because the mean of its divisors is an integer number (552926315850).

Almost surely, 2^{2101120000211} is an apocalyptic number.

2101120000211 is a deficient number, since it is larger than the sum of its proper divisors (110585263189).

2101120000211 is a wasteful number, since it uses less digits than its factorization.

2101120000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110585263188.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101120000211 its reverse (1120000211012), we get a palindrome (3221120211223).

The spelling of 2101120000211 in words is "two trillion, one hundred one billion, one hundred twenty million, two hundred eleven", and thus it is an aban number.