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101220100000 = 25551012201
BaseRepresentation
bin101111001000100110…
…0000010011110100000
3100200021012110211210121
41132101030002132200
53124244321200000
6114255550010024
710212220440235
oct1362114023640
9320235424717
10101220100000
1139a22120308
121774a4a6914
1397115209c6
144c8310378c
1529763e5b1a
hex17913027a0

101220100000 has 72 divisors (see below), whose sum is σ = 249080643756. Its totient is φ = 40488000000.

The previous prime is 101220099979. The next prime is 101220100117. The reversal of 101220100000 is 1022101.

It can be written as a sum of positive squares in 6 ways, for example, as 6988291216 + 94231808784 = 83596^2 + 306972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406101 + ... + 606100.

Almost surely, 2101220100000 is an apocalyptic number.

101220100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220100000 is an abundant number, since it is smaller than the sum of its proper divisors (147860543756).

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

101220100000 is an frugal number, since it uses more digits than its factorization.

101220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012236 (or 1012208 counting only the distinct ones).

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

Adding to 101220100000 its reverse (1022101), we get a palindrome (101221122101).

The spelling of 101220100000 in words is "one hundred one billion, two hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 1012201 2024402 4048804 5061005 8097608 10122010 16195216 20244020 25305025 32390432 40488040 50610050 80976080 101220100 126525125 161952160 202440200 253050250 404880400 506100500 632625625 809760800 1012201000 1265251250 2024402000 2530502500 3163128125 4048804000 5061005000 6326256250 10122010000 12652512500 20244020000 25305025000 50610050000 101220100000