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101124201221 = 139221132477
BaseRepresentation
bin101111000101101111…
…0001101101100000101
3100200000112000200101222
41132023132031230011
53124100243414341
6114242242330125
710206644346041
oct1361336155405
9320015020358
10101124201221
1139982a8011a
1217722359945
1396c76b4b74
144c7449d021
15296cca144b
hex178b78db05

101124201221 has 12 divisors (see below), whose sum is σ = 101946292812. Its totient is φ = 100308662784.

The previous prime is 101124201197. The next prime is 101124201271. The reversal of 101124201221 is 122102421101.

It can be written as a sum of positive squares in 2 ways, for example, as 15999720100 + 85124481121 = 126490^2 + 291761^2 .

It is not a de Polignac number, because 101124201221 - 210 = 101124200197 is a prime.

It is a super-2 number, since 2×1011242012212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101124201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101124201271) 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, 40824035 + ... + 40826511.

It is an arithmetic number, because the mean of its divisors is an integer number (8495524401).

Almost surely, 2101124201221 is an apocalyptic number.

It is an amenable number.

101124201221 is a deficient number, since it is larger than the sum of its proper divisors (822091591).

101124201221 is an equidigital number, since it uses as much as digits as its factorization.

101124201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101124201221 its reverse (122102421101), we get a palindrome (223226622322).

The spelling of 101124201221 in words is "one hundred one billion, one hundred twenty-four million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 139 2113 2477 19321 293707 344303 5233901 40825273 47858117 727512239 101124201221