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1010200101200 = 245210125004953
BaseRepresentation
bin11101011001101001001…
…11100100000101010000
310120120111120201020211222
432230310213210011100
5113022342211214300
62052025102024212
7132661462116263
oct16546447440520
93516446636758
101010200101200
1135a4726919a4
12143949b78068
1374352577394
1436c72db6cda
151b426e9d785
hexeb349e4150

1010200101200 has 60 divisors (see below), whose sum is σ = 2451035600988. Its totient is φ = 400079232000.

The previous prime is 1010200101173. The next prime is 1010200101227. The reversal of 1010200101200 is 21010020101.

It is an interprime number because it is at equal distance from previous prime (1010200101173) and next prime (1010200101227).

It can be written as a sum of positive squares in 6 ways, for example, as 65548288576 + 944651812624 = 256024^2 + 971932^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 12462077 + ... + 12542876.

Almost surely, 21010200101200 is an apocalyptic number.

1010200101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010200101200 is an abundant number, since it is smaller than the sum of its proper divisors (1440835499788).

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

1010200101200 is a wasteful number, since it uses less digits than its factorization.

1010200101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25005072 (or 25005061 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010200101200 its reverse (21010020101), we get a palindrome (1031210121301).

The spelling of 1010200101200 in words is "one trillion, ten billion, two hundred million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 25004953 50009906 100019812 125024765 200039624 250049530 400079248 500099060 625123825 1000198120 1250247650 2000396240 2500495300 2525500253 5000990600 5051000506 10001981200 10102001012 12627501265 20204002024 25255002530 40408004048 50510005060 63137506325 101020010120 126275012650 202040020240 252550025300 505100050600 1010200101200