21101000101201 has 8 divisors (see below), whose sum is σ = 21152979981000. Its totient is φ = 21049022115840.

The previous prime is 21101000101187. The next prime is 21101000101219. The reversal of 21101000101201 is 10210100010112.

It can be written as a sum of positive squares in 4 ways, for example, as 9099272250000 + 12001727851201 = 3016500^2 + 3464351^2 .

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 21101000101201 - 2⁵ = 21101000101169 is a prime.

It is a super-2 number, since 2×21101000101201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101000101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23297661 + ... + 24186421.

It is an arithmetic number, because the mean of its divisors is an integer number (2644122497625).

Almost surely, 2^{21101000101201} is an apocalyptic number.

It is an amenable number.

21101000101201 is a deficient number, since it is larger than the sum of its proper divisors (51979879799).

21101000101201 is an equidigital number, since it uses as much as digits as its factorization.

21101000101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947219.

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

Adding to 21101000101201 its reverse (10210100010112), we get a palindrome (31311100111313).

The spelling of 21101000101201 in words is "twenty-one trillion, one hundred one billion, one hundred one thousand, two hundred one".