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100222021212201 = 3374123095601361
BaseRepresentation
bin10110110010011011000001…
…111110010001100000101001
3111010212010112222101200221000
4112302123001332101200221
5101114014144412242301
6553053205543505213
730052542054253140
oct2662330176214051
9433763488350830
10100222021212201
1129a2aa14211aa9
12b2a7848158209
1343bcb858031a5
141aa6ab37d6757
15b8c011162786
hex5b26c1f91829

100222021212201 has 64 divisors (see below), whose sum is σ = 173902125196800. Its totient is φ = 55848695961600.

The previous prime is 100222021212199. The next prime is 100222021212217. The reversal of 100222021212201 is 102212120222001.

It is a happy number.

100222021212201 is a `hidden beast` number, since 10 + 0 + 2 + 220 + 21 + 212 + 201 = 666.

It is not a de Polignac number, because 100222021212201 - 21 = 100222021212199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100222021212251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15091761 + ... + 20693121.

It is an arithmetic number, because the mean of its divisors is an integer number (2717220706200).

Almost surely, 2100222021212201 is an apocalyptic number.

It is an amenable number.

100222021212201 is a deficient number, since it is larger than the sum of its proper divisors (73680103984599).

100222021212201 is a wasteful number, since it uses less digits than its factorization.

100222021212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603727 (or 5603721 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222021212201 its reverse (102212120222001), we get a palindrome (202434141434202).

The spelling of 100222021212201 in words is "one hundred trillion, two hundred twenty-two billion, twenty-one million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2309 2583 6927 7749 16163 20781 48489 62343 94669 145467 284007 436401 662683 852021 1988049 2556063 5601361 5964147 16804083 17892441 39209527 50412249 117628581 151236747 229655801 352885743 688967403 1058657229 1607590607 2066902209 4822771821 6200706627 12933542549 14468315463 38800627647 43404946389 90534797843 116401882941 271604393529 349205648823 530275244509 814813180587 1590825733527 2444439541761 3711926711563 4772477200581 11135780134689 14317431601743 33407340404067 100222021212201