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102221010221 = 11367115321961
BaseRepresentation
bin101111100110011011…
…0001101010100101101
3100202211221212100111112
41133030312031110231
53133322034311341
6114543143001405
710246063151651
oct1371466152455
9322757770445
10102221010221
113a396105a40
1217989739265
1398409b9285
144d3a00aa61
1529d4206aeb
hex17ccd8d52d

102221010221 has 16 divisors (see below), whose sum is σ = 111919757568. Its totient is φ = 92590387200.

The previous prime is 102221010191. The next prime is 102221010239. The reversal of 102221010221 is 122010122201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102221010221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102221010196 and 102221010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221013221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4643681 + ... + 4665641.

It is an arithmetic number, because the mean of its divisors is an integer number (6994984848).

Almost surely, 2102221010221 is an apocalyptic number.

102221010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221010221 is a deficient number, since it is larger than the sum of its proper divisors (9698747347).

102221010221 is a wasteful number, since it uses less digits than its factorization.

102221010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23492.

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

Adding to 102221010221 its reverse (122010122201), we get a palindrome (224231132422).

The spelling of 102221010221 in words is "one hundred two billion, two hundred twenty-one million, ten thousand, two hundred twenty-one".

Divisors: 1 11 367 1153 4037 12683 21961 241571 423151 4654661 8059687 25321033 88656557 278531363 9292819111 102221010221