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100220200101 = 38729471601
BaseRepresentation
bin101110101010110010…
…1101110010010100101
3100120200111222200000000
41131111211232102211
53120222332400401
6114012430411513
710145356434210
oct1352545562245
9316614880000
10100220200101
113955976575a
121750b660b99
1395b231a268
144bca3c0777
152918734186
hex175596e4a5

100220200101 has 144 divisors (see below), whose sum is σ = 181616048640. Its totient is φ = 54083635200.

The previous prime is 100220200057. The next prime is 100220200117. The reversal of 100220200101 is 101002022001.

It is not a de Polignac number, because 100220200101 - 26 = 100220200037 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220200141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62597701 + ... + 62599301.

It is an arithmetic number, because the mean of its divisors is an integer number (1261222560).

Almost surely, 2100220200101 is an apocalyptic number.

It is an amenable number.

100220200101 is a deficient number, since it is larger than the sum of its proper divisors (81395848539).

100220200101 is an frugal number, since it uses more digits than its factorization.

100220200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1687 counting only the distinct ones).

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

Adding to 100220200101 its reverse (101002022001), we get a palindrome (201222222102).

The spelling of 100220200101 in words is "one hundred billion, two hundred twenty million, two hundred thousand, one hundred one".

Divisors: 1 3 7 9 21 27 29 47 63 81 87 141 189 203 243 261 329 423 567 609 729 783 987 1269 1363 1601 1701 1827 2187 2349 2961 3807 4089 4803 5103 5481 6561 7047 8883 9541 11207 11421 12267 14409 15309 16443 21141 26649 28623 33621 34263 36801 43227 45927 46429 49329 63423 75247 79947 85869 100863 102789 110403 129681 139287 147987 190269 225741 239841 257607 302589 308367 325003 331209 389043 417861 443961 526729 677223 719523 772821 907767 975009 993627 1167129 1253583 1331883 1580187 2031669 2158569 2182163 2318463 2723301 2925027 2980881 3501387 3760749 4740561 6095007 6546489 6955389 8169903 8775081 8942643 10504161 11282247 14221683 15275141 18285021 19639467 20866167 24509709 26325243 33846741 42665049 45825423 54855063 58918401 62598501 73529127 78975729 101540223 127995147 137476269 164565189 176755203 236927187 304620669 383985441 412428807 493695567 530265609 710781561 1151956323 1237286421 1590796827 2132344683 3455868969 3711859263 4772390481 11135577789 14317171443 33406733367 100220200101