21100012122101 has 16 divisors (see below), whose sum is σ = 24372401050368. Its totient is φ = 18053342208000.

The previous prime is 21100012122037. The next prime is 21100012122109. The reversal of 21100012122101 is 10122121000112.

It is not a de Polignac number, because 21100012122101 - 2⁶ = 21100012122037 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 (21100012122109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27749876 + ... + 28500098.

It is an arithmetic number, because the mean of its divisors is an integer number (1523275065648).

Almost surely, 2^{21100012122101} is an apocalyptic number.

It is an amenable number.

21100012122101 is a deficient number, since it is larger than the sum of its proper divisors (3272388928267).

21100012122101 is a wasteful number, since it uses less digits than its factorization.

21100012122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900652.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21100012122101 its reverse (10122121000112), we get a palindrome (31222133122213).

The spelling of 21100012122101 in words is "twenty-one trillion, one hundred billion, twelve million, one hundred twenty-two thousand, one hundred one".