2114101101 has 32 divisors (see below), whose sum is σ = 3394944000. Its totient is φ = 1143158400.

The previous prime is 2114101057. The next prime is 2114101103. The reversal of 2114101101 is 1011014112.

It is not a de Polignac number, because 2114101101 - 2¹⁰ = 2114100077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114101103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416026 + ... + 421076.

It is an arithmetic number, because the mean of its divisors is an integer number (106092000).

Almost surely, 2^2114101101 is an apocalyptic number.

2114101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2114101101 is a deficient number, since it is larger than the sum of its proper divisors (1280842899).

2114101101 is a wasteful number, since it uses less digits than its factorization.

2114101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2114101101 is about 45979.3551607675. The cubic root of 2114101101 is about 1283.4390552284.

Adding to 2114101101 its reverse (1011014112), we get a palindrome (3125115213).

The spelling of 2114101101 in words is "two billion, one hundred fourteen million, one hundred one thousand, one hundred one".