2111012211101 has 8 divisors (see below), whose sum is σ = 2134316922624. Its totient is φ = 2087754629200.

The previous prime is 2111012211059. The next prime is 2111012211127. The reversal of 2111012211101 is 1011122101112.

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 2111012211101 - 2¹⁸ = 2111011948957 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 (2111012211001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11692325 + ... + 11871498.

It is an arithmetic number, because the mean of its divisors is an integer number (266789615328).

Almost surely, 2^{2111012211101} is an apocalyptic number.

It is an amenable number.

2111012211101 is a deficient number, since it is larger than the sum of its proper divisors (23304711523).

2111012211101 is a wasteful number, since it uses less digits than its factorization.

2111012211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23564811.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2111012211101 its reverse (1011122101112), we get a palindrome (3122134312213).

The spelling of 2111012211101 in words is "two trillion, one hundred eleven billion, twelve million, two hundred eleven thousand, one hundred one".