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2100012200221 = 134725127115051
BaseRepresentation
bin11110100011110010011…
…110110011000100011101
321102202111110110000202211
4132203302132303010131
5233401311110401341
64244422101320421
7304502155115515
oct36436236630435
97382443400684
102100012200221
1173a67915a111
1229abb5a06111
13123051755c80
14738d93a8845
153995d327181
hex1e8f27b311d

2100012200221 has 32 divisors (see below), whose sum is σ = 2320186208256. Its totient is φ = 1888599000000.

The previous prime is 2100012200203. The next prime is 2100012200239. The reversal of 2100012200221 is 1220022100012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100012200203) and next prime (2100012200239).

It is a cyclic number.

It is not a de Polignac number, because 2100012200221 - 211 = 2100012198173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100012200521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415759146 + ... + 415764196.

It is an arithmetic number, because the mean of its divisors is an integer number (72505819008).

Almost surely, 22100012200221 is an apocalyptic number.

It is an amenable number.

2100012200221 is a deficient number, since it is larger than the sum of its proper divisors (220174008035).

2100012200221 is a wasteful number, since it uses less digits than its factorization.

2100012200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2100012200221 its reverse (1220022100012), we get a palindrome (3320034300233).

The spelling of 2100012200221 in words is "two trillion, one hundred billion, twelve million, two hundred thousand, two hundred twenty-one".

Divisors: 1 13 47 251 611 2711 3263 5051 11797 35243 65663 127417 153361 237397 680461 1267801 1656421 3086161 8845993 13693261 16481413 31981667 59586647 178012393 415761671 643583267 774626411 3437008511 8366582471 44681110643 161539400017 2100012200221