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101022212200212 = 22322996764571073
BaseRepresentation
bin10110111110000100010001…
…000100101001011100010100
3111020200121222122220122012200
4112332010101010221130110
5101220121442310401322
6554504544045444500
730164420410366422
oct2676042104513424
9436617878818180
10101022212200212
112a209309163926
12b3b6946570730
13444a47a1ccc04
141ad3703276112
15ba2c460cd8ac
hex5be111129714

101022212200212 has 36 divisors (see below), whose sum is σ = 264167279032020. Its totient is φ = 32512895880192.

The previous prime is 101022212200211. The next prime is 101022212200219. The reversal of 101022212200212 is 212002212220101.

It is a happy number.

101022212200212 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 221 + 220 + 0 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67198612770576 + 33823599429636 = 8197476^2 + 5815806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022212200211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48382284493 + ... + 48382286580.

Almost surely, 2101022212200212 is an apocalyptic number.

101022212200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022212200212 is an abundant number, since it is smaller than the sum of its proper divisors (163145066831808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101022212200212 is a wasteful number, since it uses less digits than its factorization.

101022212200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96764571112 (or 96764571107 counting only the distinct ones).

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

Adding to 101022212200212 its reverse (212002212220101), we get a palindrome (313024424420313).

The spelling of 101022212200212 in words is "one hundred one trillion, twenty-two billion, two hundred twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 96764571073 193529142146 290293713219 387058284292 580587426438 870881139657 1161174852876 1741762279314 2806172561117 3483524558628 5612345122234 8418517683351 11224690244468 16837035366702 25255553050053 33674070733404 50511106100106 101022212200212