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101201200000 = 2755253003
BaseRepresentation
bin101111001000000001…
…1111100001110000000
3100200012212220121212121
41132100003330032000
53124230001400000
6114254032534024
710211601002215
oct1362003741600
9320185817777
10101201200000
1139a1249147a
12177440b1314
13970a634184
144c807c3b0c
152974910b1a
hex17900fc380

101201200000 has 96 divisors (see below), whose sum is σ = 251999574120. Its totient is φ = 40480320000.

The previous prime is 101201199989. The next prime is 101201200007. The reversal of 101201200000 is 2102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201200007) 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, 273499 + ... + 526501.

Almost surely, 2101201200000 is an apocalyptic number.

101201200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125999787060).

101201200000 is an abundant number, since it is smaller than the sum of its proper divisors (150798374120).

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

101201200000 is an frugal number, since it uses more digits than its factorization.

101201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253042 (or 253010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101201200000 its reverse (2102101), we get a palindrome (101203302101).

The spelling of 101201200000 in words is "one hundred one billion, two hundred one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 253003 400000 506006 1012012 1265015 2024024 2530030 4048048 5060060 6325075 8096096 10120120 12650150 16192192 20240240 25300300 31625375 32384384 40480480 50600600 63250750 80960960 101201200 126501500 158126875 161921920 202402400 253003000 316253750 404804800 506006000 632507500 790634375 809609600 1012012000 1265015000 1581268750 2024024000 2530030000 3162537500 4048048000 5060060000 6325075000 10120120000 12650150000 20240240000 25300300000 50600600000 101201200000