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11221100022101 = 1193130125557
BaseRepresentation
bin1010001101001001110110…
…1011100100100101010101
31110201201121202100112200212
42203102131223210211111
52432321303101201401
635510522512215205
72235461214311624
oct243223553444525
943651552315625
1011221100022101
11363692947a002
12131288383a505
136351b6ca88b8
142ab165a856bb
15146d47236dbb
hexa349dae4955

11221100022101 has 12 divisors (see below), whose sum is σ = 11241167171556. Its totient is φ = 11201060457600.

The previous prime is 11221100022089. The next prime is 11221100022133. The reversal of 11221100022101 is 10122000112211.

11221100022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2280701019601 + 8940399002500 = 1510199^2 + 2990050^2 .

It is not a de Polignac number, because 11221100022101 - 222 = 11221095827797 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 (11221100022191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2019270215 + ... + 2019275771.

It is an arithmetic number, because the mean of its divisors is an integer number (936763930963).

Almost surely, 211221100022101 is an apocalyptic number.

It is an amenable number.

11221100022101 is a deficient number, since it is larger than the sum of its proper divisors (20067149455).

11221100022101 is an frugal number, since it uses more digits than its factorization.

11221100022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 8051 counting only the distinct ones).

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

Adding to 11221100022101 its reverse (10122000112211), we get a palindrome (21343100134312).

The spelling of 11221100022101 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, twenty-two thousand, one hundred one".

Divisors: 1 1193 1301 5557 1552093 1692601 6629501 7229657 2019272993 8624980801 9405783757 11221100022101