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101212200200 = 2352733690397
BaseRepresentation
bin101111001000010110…
…1111001110100001000
3100200020122121111022102
41132100231321310020
53124240310401300
6114255104412532
710212063335606
oct1362055716410
9320218544272
10101212200200
1139a18715051
1217747917148
13970c9b6077
144c82048876
1529758850d5
hex1790b79d08

101212200200 has 48 divisors (see below), whose sum is σ = 235639741380. Its totient is φ = 40429589760.

The previous prime is 101212200197. The next prime is 101212200203. The reversal of 101212200200 is 2002212101.

It is a happy number.

101212200200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101212200197) and next prime (101212200203).

It can be written as a sum of positive squares in 6 ways, for example, as 30455136196 + 70757064004 = 174514^2 + 266002^2 .

It is not an unprimeable number, because it can be changed into a prime (101212200203) 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, 198599 + ... + 491798.

Almost surely, 2101212200200 is an apocalyptic number.

101212200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212200200 is an abundant number, since it is smaller than the sum of its proper divisors (134427541180).

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

101212200200 is a wasteful number, since it uses less digits than its factorization.

101212200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691146 (or 691137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101212200200 its reverse (2002212101), we get a palindrome (103214412301).

The spelling of 101212200200 in words is "one hundred one billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 733 1466 2932 3665 5864 7330 14660 18325 29320 36650 73300 146600 690397 1380794 2761588 3451985 5523176 6903970 13807940 17259925 27615880 34519850 69039700 138079400 506061001 1012122002 2024244004 2530305005 4048488008 5060610010 10121220020 12651525025 20242440040 25303050050 50606100100 101212200200