2101101120111 has 32 divisors (see below), whose sum is σ = 3221151252480. Its totient is φ = 1193328053856.

The previous prime is 2101101120071. The next prime is 2101101120119. The reversal of 2101101120111 is 1110211011012.

It is not a de Polignac number, because 2101101120111 - 2⁷ = 2101101119983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101120119) 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 31 ways as a sum of consecutive naturals, for example, 50294050 + ... + 50335808.

It is an arithmetic number, because the mean of its divisors is an integer number (100660976640).

Almost surely, 2^{2101101120111} is an apocalyptic number.

2101101120111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101101120111 is a deficient number, since it is larger than the sum of its proper divisors (1120050132369).

2101101120111 is a wasteful number, since it uses less digits than its factorization.

2101101120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56283.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101101120111 its reverse (1110211011012), we get a palindrome (3211312131123).

The spelling of 2101101120111 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, one hundred eleven".