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10011101202221 = 71725851845777
BaseRepresentation
bin1001000110101110010000…
…1000011000011100101101
31022110001101212002202102012
42101223210020120130231
52303010213401432341
633143011510211005
72052164264120330
oct221534410303455
938401355082365
1010011101202221
11320a758704609
121158275653a65
13578073027932
1426877b624617
151256298230eb
hex91ae421872d

10011101202221 has 24 divisors (see below), whose sum is σ = 12155954454336. Its totient is φ = 8074792627200.

The previous prime is 10011101202217. The next prime is 10011101202283. The reversal of 10011101202221 is 12220210111001.

It is not a de Polignac number, because 10011101202221 - 22 = 10011101202217 is a prime.

It is a super-2 number, since 2×100111012022212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011101202196 and 10011101202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11413685 + ... + 12259461.

It is an arithmetic number, because the mean of its divisors is an integer number (506498102264).

Almost surely, 210011101202221 is an apocalyptic number.

It is an amenable number.

10011101202221 is a deficient number, since it is larger than the sum of its proper divisors (2144853252115).

10011101202221 is an equidigital number, since it uses as much as digits as its factorization.

10011101202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851669 (or 851652 counting only the distinct ones).

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

Adding to 10011101202221 its reverse (12220210111001), we get a palindrome (22231311313222).

The spelling of 10011101202221 in words is "ten trillion, eleven billion, one hundred one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 7 17 119 289 2023 5851 40957 99467 696269 845777 1690939 5920439 11836573 14378209 100647463 244429553 1711006871 4948641227 34640488589 84126900859 588888306013 1430157314603 10011101202221