21101001012101 has 8 divisors (see below), whose sum is σ = 22342287642840. Its totient is φ = 19859720078848.

The previous prime is 21101001012059. The next prime is 21101001012139. The reversal of 21101001012101 is 10121010010112.

It can be written as a sum of positive squares in 4 ways, for example, as 13659011556100 + 7441989456001 = 3695810^2 + 2728001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21101001012101 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 (21101001012151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7971545 + ... + 10283361.

It is an arithmetic number, because the mean of its divisors is an integer number (2792785955355).

Almost surely, 2^{21101001012101} is an apocalyptic number.

It is an amenable number.

21101001012101 is a deficient number, since it is larger than the sum of its proper divisors (1241286630739).

21101001012101 is a wasteful number, since it uses less digits than its factorization.

21101001012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848743.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21101001012101 its reverse (10121010010112), we get a palindrome (31222011022213).

The spelling of 21101001012101 in words is "twenty-one trillion, one hundred one billion, one million, twelve thousand, one hundred one".