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2121101001220 = 2251371574930729
BaseRepresentation
bin11110110111011011011…
…110001100001000000100
321111202221011202010012111
4132313123132030020010
5234223003324014340
64302230443430404
7306146601013405
oct36673336141004
97452834663174
102121101001220
11748610244473
122a3100525404
13125032890046
147493a1159ac
153a294965aea
hex1eddb78c204

2121101001220 has 48 divisors (see below), whose sum is σ = 4515404750640. Its totient is φ = 836882601984.

The previous prime is 2121101001209. The next prime is 2121101001247. The reversal of 2121101001220 is 221001011212.

It can be written as a sum of positive squares in 8 ways, for example, as 45496036804 + 2075604964416 = 213298^2 + 1440696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2121101001220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035185 + ... + 2895544.

It is an arithmetic number, because the mean of its divisors is an integer number (94070932305).

Almost surely, 22121101001220 is an apocalyptic number.

2121101001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121101001220 is an abundant number, since it is smaller than the sum of its proper divisors (2394303749420).

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

2121101001220 is a wasteful number, since it uses less digits than its factorization.

2121101001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931032 (or 4931030 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121101001220 its reverse (221001011212), we get a palindrome (2342102012432).

The spelling of 2121101001220 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 137 157 274 314 548 628 685 785 1370 1570 2740 3140 21509 43018 86036 107545 215090 430180 4930729 9861458 19722916 24653645 49307290 98614580 675509873 774124453 1351019746 1548248906 2702039492 3096497812 3377549365 3870622265 6755098730 7741244530 13510197460 15482489060 106055050061 212110100122 424220200244 530275250305 1060550500610 2121101001220