21100112101 has 8 divisors (see below), whose sum is σ = 21365287200. Its totient is φ = 20836040400.

The previous prime is 21100112057. The next prime is 21100112107. The reversal of 21100112101 is 10121100112.

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 21100112101 - 2⁷ = 21100111973 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 (21100112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237331 + ... + 313888.

It is an arithmetic number, because the mean of its divisors is an integer number (2670660900).

Almost surely, 2^21100112101 is an apocalyptic number.

It is an amenable number.

21100112101 is a deficient number, since it is larger than the sum of its proper divisors (265175099).

21100112101 is a wasteful number, since it uses less digits than its factorization.

21100112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551699.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21100112101 its reverse (10121100112), we get a palindrome (31221212213).

It can be divided in two parts, 21100112 and 101, that multiplied together give a palindrome (2131111312).

The spelling of 21100112101 in words is "twenty-one billion, one hundred million, one hundred twelve thousand, one hundred one".