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100121002210000 = 245410012100221
BaseRepresentation
bin10110110000111100111100…
…110001010111001011010000
3111010111110210210022200110001
4112300330330301113023100
5101110340303031210000
6552534541540015344
730042334525021552
oct2660747461271320
9433443723280401
10100121002210000
11299a1095664522
12b290155091554
1343b34a6b62385
141aa1c4d2bd4d2
15b8959c74146a
hex5b0f3cc572d0

100121002210000 has 50 divisors (see below), whose sum is σ = 242402958474842. Its totient is φ = 40048400880000.

The previous prime is 100121002209971. The next prime is 100121002210037. The reversal of 100121002210000 is 12200121001.

It can be written as a sum of positive squares in 5 ways, for example, as 62851344717456 + 37269657492544 = 7927884^2 + 6104888^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5006040111 + ... + 5006060110.

Almost surely, 2100121002210000 is an apocalyptic number.

100121002210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121002210000 is an abundant number, since it is smaller than the sum of its proper divisors (142281956264842).

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

100121002210000 is an equidigital number, since it uses as much as digits as its factorization.

100121002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012100249 (or 10012100228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100121002210000 its reverse (12200121001), we get a palindrome (100133202331001).

The spelling of 100121002210000 in words is "one hundred trillion, one hundred twenty-one billion, two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10012100221 20024200442 40048400884 50060501105 80096801768 100121002210 160193603536 200242004420 250302505525 400484008840 500605011050 800968017680 1001210022100 1251512527625 2002420044200 2503025055250 4004840088400 5006050110500 6257562638125 10012100221000 12515125276250 20024200442000 25030250552500 50060501105000 100121002210000