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100221012111 = 311371074011913
BaseRepresentation
bin101110101010110100…
…0110100100010001111
3100120200120111220212110
41131111220310202033
53120223034341421
6114012500035103
710145366355453
oct1352550644217
9316616456773
10100221012111
113955a16a840
121750b992a93
1395b2542a3c
144bca552663
152918844a76
hex1755a3488f

100221012111 has 64 divisors (see below), whose sum is σ = 151571160576. Its totient is φ = 58369536000.

The previous prime is 100221012103. The next prime is 100221012127. The reversal of 100221012111 is 111210122001.

It is not a de Polignac number, because 100221012111 - 23 = 100221012103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52388491 + ... + 52390403.

It is an arithmetic number, because the mean of its divisors is an integer number (2368299384).

Almost surely, 2100221012111 is an apocalyptic number.

100221012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100221012111 is a deficient number, since it is larger than the sum of its proper divisors (51350148465).

100221012111 is a wasteful number, since it uses less digits than its factorization.

100221012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472.

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

Adding to 100221012111 its reverse (111210122001), we get a palindrome (211431134112).

The spelling of 100221012111 in words is "one hundred billion, two hundred twenty-one million, twelve thousand, one hundred eleven".

Divisors: 1 3 11 33 37 107 111 321 401 407 1177 1203 1221 1913 3531 3959 4411 5739 11877 13233 14837 21043 42907 43549 44511 63129 70781 128721 130647 163207 204691 212343 471977 489621 614073 767113 778591 1415931 1587559 2251601 2301339 2335773 4762677 6754803 7573567 8438243 17463149 22720701 25314729 28383181 52389447 82081091 83309237 85149543 246243273 249927711 312214991 902892001 936644973 2708676003 3037000367 9111001101 33407004037 100221012111