21101000110001 has 16 divisors (see below), whose sum is σ = 24177157380480. Its totient is φ = 18040322488320.

The previous prime is 21101000109989. The next prime is 21101000110019. The reversal of 21101000110001 is 10001100010112.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21101000110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101000110031) 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, 3358610 + ... + 7313156.

It is an arithmetic number, because the mean of its divisors is an integer number (1511072336280).

Almost surely, 2^{21101000110001} is an apocalyptic number.

It is an amenable number.

21101000110001 is a deficient number, since it is larger than the sum of its proper divisors (3076157270479).

21101000110001 is a wasteful number, since it uses less digits than its factorization.

21101000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956504.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21101000110001 its reverse (10001100010112), we get a palindrome (31102100120113).

The spelling of 21101000110001 in words is "twenty-one trillion, one hundred one billion, one hundred ten thousand, one".