11000221100101 has 8 divisors (see below), whose sum is σ = 11455911819000. Its totient is φ = 10549621897920.

The previous prime is 11000221100081. The next prime is 11000221100119. The reversal of 11000221100101 is 10100112200011.

It can be written as a sum of positive squares in 4 ways, for example, as 271648397601 + 10728572702500 = 521199^2 + 3275450^2 .

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 11000221100101 - 2⁵ = 11000221100069 is a prime.

It is a super-2 number, since 2×11000221100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000221103101) 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, 1272874770 + ... + 1272883411.

It is an arithmetic number, because the mean of its divisors is an integer number (1431988977375).

Almost surely, 2^{11000221100101} is an apocalyptic number.

It is an amenable number.

11000221100101 is a deficient number, since it is larger than the sum of its proper divisors (455690718899).

11000221100101 is a wasteful number, since it uses less digits than its factorization.

11000221100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545758359.

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

Adding to 11000221100101 its reverse (10100112200011), we get a palindrome (21100333300112).

The spelling of 11000221100101 in words is "eleven trillion, two hundred twenty-one million, one hundred thousand, one hundred one".