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1010221221100 = 2252713111013321
BaseRepresentation
bin11101011001101011110…
…00001000010011101100
310120120120001110020220111
432230311320020103230
5113022413113033400
62052031134425404
7132662136461320
oct16546570102354
93516501406814
101010221221100
1135a4835a7663
12143955062264
1374356a60470
1436c75b13980
151b428c713ba
hexeb35e084ec

1010221221100 has 72 divisors (see below), whose sum is σ = 2698067777888. Its totient is φ = 319718361600.

The previous prime is 1010221221071. The next prime is 1010221221133. The reversal of 1010221221100 is 11221220101.

1010221221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55497561 + ... + 55515760.

Almost surely, 21010221221100 is an apocalyptic number.

1010221221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010221221100 is an abundant number, since it is smaller than the sum of its proper divisors (1687846556788).

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

1010221221100 is a wasteful number, since it uses less digits than its factorization.

1010221221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111013355 (or 111013348 counting only the distinct ones).

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

Adding to 1010221221100 its reverse (11221220101), we get a palindrome (1021442441201).

Subtracting from 1010221221100 its reverse (11221220101), we obtain a palindrome (999000000999).

It can be divided in two parts, 1010221 and 221100, that added together give a palindrome (1231321).

The spelling of 1010221221100 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 111013321 222026642 444053284 555066605 777093247 1110133210 1443173173 1554186494 2220266420 2775333025 2886346346 3108372988 3885466235 5550666050 5772692692 7215865865 7770932470 10102212211 11101332100 14431731730 15541864940 19427331175 20204424422 28863463460 36079329325 38854662350 40408848844 50511061055 72158658650 77709324700 101022122110 144317317300 202044244220 252555305275 505110610550 1010221221100