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101200220100 = 22335275354509
BaseRepresentation
bin101111001000000000…
…0001100111111000100
3100200012211001211201000
41132100000030333010
53124224224020400
6114253555533300
710211556451320
oct1362000147704
9320184054630
10101200220100
1139a11982241
12177438ba230
13970a380155
144c8060a980
1529747ba600
hex179000cfc4

101200220100 has 144 divisors (see below), whose sum is σ = 371817174400. Its totient is φ = 23131474560.

The previous prime is 101200220089. The next prime is 101200220111. The reversal of 101200220100 is 1022002101.

It is an interprime number because it is at equal distance from previous prime (101200220089) and next prime (101200220111).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658355 + ... + 2696154.

Almost surely, 2101200220100 is an apocalyptic number.

101200220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200220100 is an abundant number, since it is smaller than the sum of its proper divisors (270616954300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101200220100 is a wasteful number, since it uses less digits than its factorization.

101200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354539 (or 5354526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200220100 its reverse (1022002101), we get a palindrome (102222222201).

The spelling of 101200220100 in words is "one hundred one billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 5354509 10709018 16063527 21418036 26772545 32127054 37481563 48190581 53545090 64254108 74963126 80317635 96381162 107090180 112444689 133862725 144571743 149926252 160635270 187407815 192762324 224889378 240952905 267725450 289143486 321270540 337334067 374815630 401588175 449778756 481905810 535450900 562223445 578286972 674668134 722858715 749631260 803176350 937039075 963811620 1012002201 1124446890 1204764525 1349336268 1445717430 1606352700 1686670335 1874078150 2024004402 2248893780 2409529050 2811117225 2891434860 3373340670 3614293575 3748156300 4048008804 4819058100 5060011005 5622234450 6746681340 7228587150 8433351675 10120022010 11244468900 14457174300 16866703350 20240044020 25300055025 33733406700 50600110050 101200220100