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100221222101 = 71113443226007
BaseRepresentation
bin101110101010110100…
…1100111110011010101
3100120200120220120220212
41131111221213303111
53120223113101401
6114012504335205
710145401221620
oct1352551476325
9316616816825
10100221222101
113955a2a3590
121750ba74505
1395b25b74b0
144bca5a8db7
152918886dbb
hex1755a67cd5

100221222101 has 32 divisors (see below), whose sum is σ = 134867109888. Its totient is φ = 71924149440.

The previous prime is 100221222053. The next prime is 100221222103. The reversal of 100221222101 is 101222122001.

It is a de Polignac number, because none of the positive numbers 2k-100221222101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221222103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330440 + ... + 556446.

It is an arithmetic number, because the mean of its divisors is an integer number (4214597184).

Almost surely, 2100221222101 is an apocalyptic number.

100221222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221222101 is a deficient number, since it is larger than the sum of its proper divisors (34645887787).

100221222101 is a wasteful number, since it uses less digits than its factorization.

100221222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226481.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221222101 its reverse (101222122001), we get a palindrome (201443344102).

The spelling of 100221222101 in words is "one hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 7 11 13 77 91 143 443 1001 3101 4873 5759 34111 40313 63349 226007 443443 1582049 2486077 2938091 17402539 20566637 32319001 100121101 226233007 700847707 1101332111 1301574313 7709324777 9111020191 14317317443 100221222101