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221121210102200 = 23528111363262701
BaseRepresentation
bin110010010001101111001011…
…001011100011000110111000
31001222220222111022201011100122
4302101233023023203012320
5212440322214241232300
62102141403115152412
764401323502062552
oct6221571313430670
91058828438634318
10221121210102200
1164501a84537061
1220972931a45708
13964c8436461c5
143c864762304d2
151a86d0b9c5c85
hexc91bcb2e31b8

221121210102200 has 48 divisors (see below), whose sum is σ = 514740731021160. Its totient is φ = 88339422960000.

The previous prime is 221121210102167. The next prime is 221121210102229. The reversal of 221121210102200 is 2201012121122.

221121210102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211212101022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681469151 + ... + 681793550.

Almost surely, 2221121210102200 is an apocalyptic number.

221121210102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121210102200 is an abundant number, since it is smaller than the sum of its proper divisors (293619520918960).

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

221121210102200 is a wasteful number, since it uses less digits than its factorization.

221121210102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363263528 (or 1363263519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221121210102200 its reverse (2201012121122), we get a palindrome (223322222223322).

The spelling of 221121210102200 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 811 1622 3244 4055 6488 8110 16220 20275 32440 40550 81100 162200 1363262701 2726525402 5453050804 6816313505 10906101608 13632627010 27265254020 34081567525 54530508040 68163135050 136326270100 272652540200 1105606050511 2211212101022 4422424202044 5528030252555 8844848404088 11056060505110 22112121010220 27640151262775 44224242020440 55280302525550 110560605051100 221121210102200