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102010202000100 = 2232523366672
BaseRepresentation
bin10111001100011100011001…
…110110101000101011100100
3111101012002011101000200102100
4113030130121312220223210
5101332313343203000400
61000542501224012100
730325664621206662
oct2714343166505344
9441162141020370
10102010202000100
112a55a3136a06a9
12b536316301030
1344bc6a01a2264
141b2946a5a7c32
15bbd7bd25c100
hex5cc719da8ae4

102010202000100 has 81 divisors (see below), whose sum is σ = 319746260676297. Its totient is φ = 27202639733280.

The previous prime is 102010202000039. The next prime is 102010202000129. The reversal of 102010202000100 is 1000202010201.

The square root of 102010202000100 is 10100010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36723672720036 + 65286529280064 = 6060006^2 + 8080008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 302831967 + ... + 303168633.

Almost surely, 2102010202000100 is an apocalyptic number.

102010202000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010202000100 is the 10100010-th square number.

It is an amenable number.

102010202000100 is an abundant number, since it is smaller than the sum of its proper divisors (217736058676197).

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

102010202000100 is an frugal number, since it uses more digits than its factorization.

102010202000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673354 (or 336677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102010202000100 its reverse (1000202010201), we get a palindrome (103010404010301).

The spelling of 102010202000100 in words is "one hundred two trillion, ten billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 336667 673334 1010001 1346668 1683335 2020002 3030003 3366670 4040004 5050005 6060006 6733340 8416675 10100010 12120012 15150015 16833350 20200020 25250025 30300030 33666700 50500050 60600060 75750075 101000100 151500150 303000300 113344668889 226689337778 340034006667 453378675556 566723344445 680068013334 1020102020001 1133446688890 1360136026668 1700170033335 2040204040002 2266893377780 2833616722225 3400340066670 4080408080004 5100510100005 5667233444450 6800680133340 8500850166675 10201020200010 11334466888900 17001700333350 20402040400020 25502550500025 34003400666700 51005101000050 102010202000100