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101200011112221 = 3723122207595153
BaseRepresentation
bin10111000000101001110110…
…101101101010111100011101
3111021022121220202221012100220
4113000221312231222330131
5101231030110321042341
6555122350541311553
730213313421246400
oct2700516655527435
9437277822835326
10101200011112221
112a277757aa301a
12b4252a6b655b9
134461173b21818
141adc16c9cdd37
15ba76a0452a66
hex5c0a76b6af1d

101200011112221 has 24 divisors (see below), whose sum is σ = 162026614243584. Its totient is φ = 55963139783040.

The previous prime is 101200011112169. The next prime is 101200011112297. The reversal of 101200011112221 is 122211110002101.

It is a happy number.

It is not a de Polignac number, because 101200011112221 - 26 = 101200011112157 is a prime.

It is a super-2 number, since 2×1012000111122212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101200011112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200011112621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11103793020 + ... + 11103802133.

It is an arithmetic number, because the mean of its divisors is an integer number (6751108926816).

Almost surely, 2101200011112221 is an apocalyptic number.

It is an amenable number.

101200011112221 is a deficient number, since it is larger than the sum of its proper divisors (60826603131363).

101200011112221 is a wasteful number, since it uses less digits than its factorization.

101200011112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22207595201 (or 22207595194 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101200011112221 its reverse (122211110002101), we get a palindrome (223411121114322).

The spelling of 101200011112221 in words is "one hundred one trillion, two hundred billion, eleven million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 22207595153 66622785459 155453166071 466359498213 688435449743 1088172162497 2065306349229 3264516487491 4819048148201 14457144444603 33733337037407 101200011112221