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101022111201 = 31127313727827
BaseRepresentation
bin101111000010101100…
…0110001010111100001
3100122202101220222020010
41132011120301113201
53123343130024301
6114224154235133
710204264530354
oct1360530612741
9318671828203
10101022111201
1139930391400
12176b4125aa9
1396ac4bbc7b
144c64ac629b
152963d375d6
hex17856315e1

101022111201 has 48 divisors (see below), whose sum is σ = 151183513152. Its totient is φ = 59943882240.

The previous prime is 101022111167. The next prime is 101022111209. The reversal of 101022111201 is 102111220101.

It is not a de Polignac number, because 101022111201 - 26 = 101022111137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101022111209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3616450 + ... + 3644276.

It is an arithmetic number, because the mean of its divisors is an integer number (3149656524).

Almost surely, 2101022111201 is an apocalyptic number.

101022111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022111201 is a deficient number, since it is larger than the sum of its proper divisors (50161401951).

101022111201 is a wasteful number, since it uses less digits than its factorization.

101022111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28062 (or 28051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101022111201 its reverse (102111220101), we get a palindrome (203133331302).

The spelling of 101022111201 in words is "one hundred one billion, twenty-two million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 11 33 73 121 137 219 363 411 803 1507 2409 4521 8833 10001 16577 26499 27827 30003 49731 83481 110011 306097 330033 918291 1210121 2031371 3367067 3630363 3812299 6094113 10101201 11436897 22345081 41935289 67035243 125805867 245795891 278297827 461288179 737387673 834893481 1383864537 3061276097 9183828291 33674037067 101022111201