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101010000100212 = 223271921096491249
BaseRepresentation
bin10110111101111000111001…
…001011001011101101110100
3111020122110110120200200100200
4112331320321023023231310
5101214421440011201322
6554455204202040500
730163505652301350
oct2675707113135564
9436573416620320
10101010000100212
112a2041118053a5
12b3b44b87a9130
134449282135738
141ad2ca5406460
15ba277de138ac
hex5bde392cbb74

101010000100212 has 72 divisors (see below), whose sum is σ = 307164912600000. Its totient is φ = 27341052657408.

The previous prime is 101010000100111. The next prime is 101010000100213. The reversal of 101010000100212 is 212001000010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010000100194 and 101010000100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010000100213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10548240837 + ... + 10548250412.

Almost surely, 2101010000100212 is an apocalyptic number.

101010000100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010000100212 is an abundant number, since it is smaller than the sum of its proper divisors (206154912499788).

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

101010000100212 is a wasteful number, since it uses less digits than its factorization.

101010000100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21096491285 (or 21096491280 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010000100212 its reverse (212001000010101), we get a palindrome (313011000110313).

The spelling of 101010000100212 in words is "one hundred one trillion, ten billion, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 21096491249 42192982498 63289473747 84385964996 126578947494 147675438743 189868421241 253157894988 295350877486 379736842482 400833333731 443026316229 590701754972 759473684964 801666667462 886052632458 1202500001193 1329078948687 1603333334924 1772105264916 2405000002386 2658157897374 2805833336117 3607500003579 4810000004772 5316315794748 5611666672234 7215000007158 8417500008351 11223333344468 14430000014316 16835000016702 25252500025053 33670000033404 50505000050106 101010000100212